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Is it possible to have a cross product of vectors equal to zero when neither of them is a nul vector?
Wiki User
∙ 13y ago
Nope.
Cross products come at an angle at 90° to the plane of the first two vectors. So the only way you could have a nul vector is if the magnitude of the product is 0. And this can only happen if either is 0.
Once you realise the angle can't help get 0, think of it as two numbers which, when multiplied, become 0 - one of them has to be 0.
Wiki User
∙ 13y ago
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What is the product of two vector quantities?
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Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
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Why is magnetic field vector a pseudo vector?
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If vector A is perpendicular to vector B and C then Vector A is parallel to?
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Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
The question is not correct, because the product of any two vectors is just a number, while when you subtract to vectors the result is also a vector. So you can't compare two different things...
What is the algebraic definition of a cross product?
Cross product also known as vector product can best be described as a binary operation on two vectors in a three-dimensional space. The created vector is perpendicular to both of the multiplied vectors.
Why is magnetic field vector a pseudo vector?
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
Is it possible the add a vector and scalar?
no!!!only scalars and scalars and only vectors and vectors can be added.
When the vector product of two vectors is zero?
When they point in the same direction.
If vector A is perpendicular to vector B and C then Vector A is parallel to?
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.
1 For the two vectors find the scalar product AB and the vector product?
For two vectors A and B, the scalar product is A.B= -ABcos(AB), the minus sign indicates the vectors are in the same direction when angle (AB)=0; the vector product is ABsin(AB). Vectors have the rule: i^2= j^2=k^2 = ijk= -1.
Dot product of unit vectors of cartesian and cylindrical coordinate system?
Unit vectors are perpendicular. Their dot product is zero. That means that no unit vector has any component that is parallel to another unit vector.
