Q.

The angle between two vectors a=4i^+7j^+6k^  and b=3i^+3j^−c10k^ is π3rad. The value of 3c17 is ____________

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answer is 3.

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Detailed Solution

a⋅b=|a||b|cos⁡θ or  12+21−6c10=16+49+36×9+9+c2100×12∴c=17∴3c17=3×1717=3
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