Question

Vector a b and c are such that a dot b is equals to zero and vector a dot c is equals to zero then the vector parallel to a vector is

Answer 1

Answer:   b × c

a.b = 0 => dot product of a and b = 0 it means angle between vector a and vector b is 90°.  

similarly, a.c = 0 => dot product of a and c = 0, it means angle between vector a and c is 90°.

Answer 2

Answer:

Vectors:-

It is given here that all three vectors are having a non-zero magnitude.

The vectors A,C and A,B are perpendicular to each other.

Two vectors are said to be parallel,if their cross product is 0.

So,A,B and C are automatically eliminated.

We are calculating triple vector product A,B,C that is, A*(B*C),where '*' denotes vector product.

Formula of A*(B*C)= (A.C)B-(A.B)C ,where '.' and '*' denote dot product and vector product respectively.

Applying the formula,we get 0.

Hence,A is parallel to (B*C)