If a_1→,a_2→,a_3→ and b_1→,b_2→,b_3→ be two sets of non-coplanar vectors, such that a_p→⋅b_q→= 0 if p≠q 4 if p=q for p=1,2,3 and q=1,2,3, then the…

Question

If a_1→,a_2→,a_3→ and b_1→,b_2→,b_3→ be two sets of non-coplanar vectors, such that a_p→⋅b_q→= 0 if p≠q 4 if p=q for p=1,2,3 and q=1,2,3, then the value of a_1→ 2a_2→ 3a_3→ b_1→+b_2→ b_2→+b_3→ b_3→+b_1→ is equal to

MARKS Content Team · Accepted Answer

Correct answer: 768. a_1→ 2a_2→ 3a_3→ b_1→+b_2→ b_2→+b_3→ b_3→+b_1→ =6 a_1→ a_2→ a_3→ 2 b_1→ b_2→ b_3→ =12 a_1→⋅b_1→ a_1→⋅b_2→ a_1→⋅b_3→ a_2→⋅b_1→ a_2→⋅b_2→ a_2→⋅b_3→ a_3→⋅b_1→ a_3→⋅b_2→ a_3→⋅b_3→ =12 4 0 0 0 4 0 0 0 4 =12×64=768

Solution

More Vector Algebra Questions

If a1→,a2→,a3→ and b1→,b2→,b3→ be two sets of non-coplanar vectors, such that ap→⋅bq→=0if p≠q4if p=q for p=1,2,3 and q=1,2,3, then the value of a1→2a2→3a3→b1→+b2→b2→+b3→b3→+b1→ is equal to

Solution

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