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Question

Mathematics Question on Vector Algebra

If a=2,b=2i^j^3k^|\overrightarrow{a}|=2,\overrightarrow{b}=2\hat{i}-\hat{j}-3\hat{k} and the angle between a\overrightarrow{a} and b\overrightarrow{b} is π4\frac{\pi}{4}, then ab\overrightarrow{a}\cdot\overrightarrow{b} is equal to

A

4√2

B

2√7

C

√30

D

√7

E

√14

Answer

2√7

Explanation

Solution

The correct option is (B): 2√7