If |vector a| = 10, |vector b| = 2, and vectors a.b = 12, then value of

Question

If \(|\vec a| = 10,\) \(|\vec b| = 2,\) and \(\vec a . \vec b = 12\), then value of \(|\vec a \times \vec b| \) is

A. 5

B. 10

C. 14

D. 16

Answer 1

Given that, \(|\vec a| = 10,\) \(|\vec b| = 2,\) and \(\vec a . \vec b = 12\),

Let θ be the angle between vector a and b.