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Question

If ¯¯¯a=2¯i+2¯j+¯¯¯k,¯¯b=5¯i+¯j+2¯¯¯k, then (¯¯¯aׯ¯b)2+(¯¯¯a.¯¯b)2=

A
270
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B
120
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C
170
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D
110
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Solution

The correct option is A 270
Magnitude of Vectors
|a|=3
|b|=3
(a×b)2+(a.b)=(a b)2
=9×30
=270

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