Using identity a×(b×c)=(a⋅c)b−(a⋅b)c. a⋅c=2+1+7=10. a⋅b=2−1−3=−2. So expression =10b+2c. Hence λ+μ=10+2=12.
CUET UG 2022 — Mathematics Algebra
If a=i^−j^+k^, b=2i^+j^−3k^, c=2i^−j^+7k^ and a×(b×c)=λb+μc
(When λ, μ are scalars), then the value of λ+μ is:
Held on 16 Jul 2022 · Verified 13 Jul 2026.
10
12
-2
-8
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