Question

Vectors A^➙ = 2i^˄ + 2j^˄ – k^˄ and B^➙ = 2i^˄ – j^˄ – 2k^˄ Find 3A^➙ – 2B^➙ 

(A) 2i^˄ + 7j^˄ + k^˄ 

(B) 2i^˄ + 8j^˄ – k^˄ 

(C) 2i^˄ + 8j^˄ + k^˄ 

(D) i^˄ + 7j^˄ + k^˄

Answer 1

Correct option: (C) 2i˄ + 8j˄ + k˄

Explanation:

3A^➙ – 2B^➙ = 3(2i˄ + 2j˄ – k˄) – 2(2i˄ – j˄ – 2k˄)

= 6i˄ + 6˄ – 3k˄ – 4i˄ + 2j˄ + 4k˄

= 2i˄ + 8j˄ + k˄