Let vector a = i +j+ k and vector b = j - k. If ​ vector c is a vector such that vector a x c ​= vector b and vector a.c = 3

Question

Let vector a = i + j + k and vector b = j - k. If vector c is a vector such that vector a \(\times\) c = vector b and vector a.c = 3, then vector a.(b \(\times\) c) is equal to :

(1) –2

(2) –6

(3) 6

(4) 2

Answer 1

Correct answer is: (1) –2