The magnitude of the vector product of two vectors A- and B- may be a Greater than ABb Equal to ABc less than ABd equal to 0

The correct option is A (1) b,c,dThe correct option is A.Given two A⃗ and B⃗ Since there are Two types of vector multiplications have been defined, t ...

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Standard XII

Mathematics

Scalar Triple Product

The magnitude...

Question

The magnitude of the vector product of two vectors $\to A$ and $\to B$ may be
(a) Greater than AB
(b) Equal to AB
(c) less than AB
(d) equal to 0

(1) b,c,d

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(2) a,b,c

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(3) a,c,d

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(4) a,b,d

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Solution

The correct option is A (1) b,c,d
The correct option is A.

Given two $\to A$ and $\to B$

Since there are Two types of vector multiplications have been defined, the scalar product and the vector product. $A \times B =$ $A_{x} B_{x} + A_{y} B_{y} + A_{z} B_{z} .$ The scalar product of two vectors A and B is a scalar quantity equal to the product of the magnitudes of the two vectors and the cosine of the smallest angle between them.
Thus it may be equal or smaller or zero.

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The magnitude of the vector product of two vectors →A and →B may be (a) Greater than AB(b) Equal to AB(c) less than AB(d) equal to 0

The magnitude of the vector product of two vectors $\to A$ and $\to B$ may be
(a) Greater than AB
(b) Equal to AB
(c) less than AB
(d) equal to 0