a = i + j + k , b = 4i + 3j + 4k and c = i + x1j + x2k are linearly dependent vectors and |c| = 2,

Question

\(\vec a = \hat i + \hat j + \hat k, b = 4\hat i + 3\hat j+ 4\hat k\) and \(\vec c = \hat i + x_1\hat j + x_2\hat k\) are linearly dependent vectors and \(|\vec c| = 2\), then the value of 729x₁⁴ + 343x₁²x₂² + 81x₂² + 15 =

(a) 3689

(b) 3869

(c) 3698

(d) None of these

Answer 1

Correct option is (c) 3698