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Find, correct to two decimal places, the acute angle between...

Find, correct to two decimal places, the acute angle between p=(1314) and q=(125).

A.

23.52°

B.

24.50°

C.

29.52°

D.

29.82°

Correct answer is B

p.q=|p||q|cosθ

156+70=(132+142)(122+52)cosθ

226=(365)(13)cosθ

22613365=cosθ

cosθ=0.9099

\theta = 24.50°