Table of Contents
Can a vector have a zero component?
If we have an arbitrary number of dimensions, the zero vector is the vector where each component is zero.
Can a vector have non-zero magnitude if component is zero?
Originally Answered: Can a vector of magnitude zero have non-zero components? AFAIK, no. The magnitude of a vector is defined (or measured) as the square root of the sum of the squares of it’s components. So, the magnitude will be 0 if and only if the sum of the squares of it’s components is 0.
What does non-zero vector mean?
A non-zero vector is one with at least one non-zero entry, at least in Rn or Cn. In general, a non-zero vector is one that is not the identity element for addition of the vector space in question.
Why electric current is not a vector even though it has direction?
Electric current is a scalar quantity. In the case of electric current, when two currents meet at a junction, the resultant current of these will be an algebraic sum and not the vector sum. Therefore, an electric current is a scalar quantity although it possesses magnitude and direction.
Can you add a scalar to a vector?
Although vectors and scalars represent different types of physical quantities, it is sometimes necessary for them to interact. While adding a scalar to a vector is impossible because of their different dimensions in space, it is possible to multiply a vector by a scalar.
Can we add scalar?
A scalar quantity is a quantity which has magnitude only but no direction. For example, distance, speed etc. It is impossible to add the two together because of their different dimensions . This basically means that being a vector quantity a particular physical quantity will have both magnitude and direction.
Can we add Scalar to Matrix?
An example where this is permitted is the MATLAB language, where you can add a scalar to a matrix A simply by addition: e.g. A+3 . Addition of a scalar to a matrix could be defined as A+b=A+bJd, with d the dimensions of A. This is commutative and associative, just like regular matrix addition.
Can we add two scalars?
Answer: (a) No. Only two such scalars can be added which represent the same physical quantity.
Yes, any vector has zero component along the direction perpendicular to it. Like, A vector along x-axis has zero component along Y-axis.
Can a vector have a component greater?
The components of a vector can never have a magnitude greater than the vector itself. This can be seen by using Pythagorean’s Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector.
Can a component of a vector be negative?
Vectors are only negative with respect to another vector. The magnitude, or length, of a vector, cannot be negative; it can be either be zero or positive. The negative sign is used here to indicate that the vector has the opposite direction of the reference vector.
What is the minimum number of unequal forces whose vector sum can be equal to zero?
Can a component of a vector ever be longer than the total vector itself explain?
No a vector can’t have a component who’s magnitude is greater than the total magnitude of the vector.
Does each component of a vector is always a scalar?
each component of a vector is always a scalar, 3. the total path length is always equal to the magnitude of the displacement vector of a particle, Three vectors not lying In a plane can never add up to give a null vector.
Which component of a vector is always a scalar?
(b) Each component of a vector is also a vector. (c) Total path length is a scalar quantity, whereas displacement is a vector quantity. Hence, the total path length is always greater than the magnitude of displacement. It becomes equal to the magnitude of displacement only when a particle is moving in a straight line.
Can we add three vectors not lying in the same plane to get a null vector?
(e) Three vectors not lying in a plane can never add up to give a null vector.
Can 3 vectors lying in a plane give zero resultant?
The resultant of the two vectors lie in the same plane. Hence, three vectors in single plane cannot give the resultant zero. For the resultant of three vectors to be zero, resultant of two should be equal and opposite to the third.
Can 3 vectors not in one plane give zero resultant?
Three vectors which are not in one plane can not givee zero resultant. This is because resultant of two vectors ( in a plane ) line in their plane.
Can resultant of three vectors be zero?
Resultant of three vectors will be zero if all of the below conditions are applicable: If the direction of resultant of those two vectors is exactly opposite to the direction of the third vector. 3. If the magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector.
Can four vectors not lying in a plane give zero resultant?
But when we take four vectors which are not in same plane their rectangular components cancels each other therefore their resultant is zero.
Under what condition the three vectors Cannot have zero resultant?
(i) When three vectors are not lying in one plance, they can bot produce zero resultant. (ii) When three vectors are lying in a place and are represented in magnitude and direction by the three sides of a triangle taken in the same order, they can prokuce zero resultant.
Under what conditions can 3 vectors give zero resultant B can give zero resultant?
Under what condition the resultant of two vectors will be zero?
Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero. Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.
Under what condition is the resultant vector of three vectors acting simultaneously on a particle is zero?
Answer: If magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector. If direction of resultant of those two vectors is exactly opposite to the direction of the third vector. If all above conditions are satisfied, then the resultant of three vectors will be zero.
Can you add three vectors of equal magnitudes and get zero?
No, it is not possible to obtain zero by adding two vectors of unequal magnitudes. Yes, it is possible to add three vectors of equal magnitudes and get zero. Lets take three vectors of equal magnitudes †’A, †’B and †’C, given these three vectors make an angle of 120Â° with each other.
What lengths are needed for three vectors to have a vector sum of zero?
What length restrictions are required for three vectors to have a vector sum of zero? Explain your reasoning. No The required length restriction for three vectors is the sum of the lengths of any two of them must be greater than the third one. This is referred to as the triangle inequality.
Can three vectors of unequal magnitude give a zero resultant vector?
Assertion: The minimum number of vectors of unequal magnitude required to produce zero resultant is three. Reason: Three vectors of unequal magnitude which can be represented by the three sides of a triangle taken in order, produce zero resultant.
Can two vectors of unequal magnitude add up to give the zero vector can three of the resultant vector?
Answer. a) No. Two vectors of unequal magnitude can never add up to give zero vector. Three(or more) vectors of unequal magnitude may add up to give zero vector.
Can two vectors of unequal magnitude add up to give zero vector can three vectors of unequal magnitude add up to give the zero vector?
No . Two unequal vectors can never give zero vector by addition . But three unequal vectors when added may give zero vector .
Can two nonzero perpendicular vectors be added together so their sum is zero?
Can 2 non-zero perpendicular vectors be added together so that their sum is zero? ANSWER: No. The sum of two perpendicular non-zero vectors can never be zero.
Can the sum of two vectors be perpendicular?
The sum and difference of two vectors are perpendicular to each other.
Can the sum of the magnitudes of two vectors ever be equal?
No. The magnitude of the sum can be equal to the sum of the magnitudes, if the vectors have the same direction. If they don’t, then the magnitude of the sum will be less than the sum of the magnitudes.