Question

Angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q(0.259, 0.966, 0) will be?

Options

• 0°

• 30°

• 45°

• 60°

Answer 1

45°

Explanation:

`vecP = 0.866hati + 0.55hatj + 0hatk, |vecP|` = 1

`vecQ = 0.259hati + 0.966hatj + 0hatk, |vecQ|` = 1

Angle between two vectors `vecP` and `vecQ`,

`cos  theta = (vecP. vecQ)/(|vecP||vecQ|)`

`cos theta` = (0.866, 0.500, 0).(0.259, 0.966, 0)  

`cos theta` = 0.244 + 0.483

`cos theta` = 0.707

∴ `theta` = 45°