Let a→,b→ and c→ be three vectors such that a→=√3,b→=5,b→∙c→=10 and the angle between b→ and c→ is (π)/3. If a→ is perpendicular to the vector b→×c→…

Question

Let a→,b→ and c→ be three vectors such that a→=√3,b→=5,b→∙c→=10 and the angle between b→ and c→ is (π)/3. If a→ is perpendicular to the vector b→×c→, then a→×b→×c→ is equal to ____________.

MARKS Content Team · Accepted Answer

Correct answer: 30. b→.c→=10⇒b→c→cos⁡(π)/3=10⇒5.c→.1/2=10 ⇒c→=4 Also, a→.b→×c→=0 a→×b→×c→=a→b→×c→sin⁡(π)/2 ⇒√3×b→c→sin⁡(π)/3×1 ⇒√3×5×4×√32=30

Solution

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Let a→,b→ and c→ be three vectors such that a→=3,b→=5,b→∙c→=10 and the angle between b→ and c→ is π3. If a→ is perpendicular to the vector b→×c→, then a→×b→×c→ is equal to ____________.

Solution

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