Let  ,  and  be three given vectors. If  is a vector such that  and  then  is equal to

Let  and  be two vectors.

Determine which of the following vectors are equal

Two vectors  and  are given. Then which of the following options is/are correct?

If  and  are unit vectors along x, y and z axis respectively, then choose the wrong statement:

Let a⃗ =3iˆ+jˆ−2kˆ,b⃗ =4iˆ+jˆ+7kˆ and c→=iˆ−3jˆ+4kˆ be three vectors. If a vectors p→ satisfies p→×b→=c→×b→ and p→⋅a→=0, then p→⋅(iˆ−jˆ−kˆ) is equal to