b and c are non-collinear vectors. If a x (b x c) + (b.a) b = (4 - 2x - siny)b + (x^2 - 1)c and (c.c)a = c,

Question

\(\vec b\) and \(\vec c\) are non-collinear vectors. If \(\vec a \times (\vec b \times \vec c) + (\vec b.\vec a) \vec b =(4 - 2x-siny) \vec b+(x^2 -1)\vec c \) and \((\vec c.\vec c) \vec a = \vec c\), then the value of x^siny + (4siny)^4x + 15 must be

(a) 722

(b) 272

(d) 227

(d) None of these

Answer 1

Correct option is (b) 272