Let a ⃗=3i ̂+j ̂ and b ⃗=i ̂+2j ̂+k ̂. Let c ⃗ be a vector satisfying a ⃗×(b ⃗×c ⃗ )=b ⃗+λc ⃗.

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Let a ⃗=i ̂+2j ̂-3k ̂ and b ⃗=3i ̂-j ̂+2k ̂ be two vectors. Show that the vectors (a ⃗+b ⃗ )....Q170

Let a ⃗=2i ̂-j ̂+3k ̂ , b ⃗=3i ̂-5j ̂+k ̂ and c ⃗ be a vector such that a ⃗×c ⃗=c ⃗×b ⃗ and (a ⃗+c

Let a ⃗ = i ̂+4j ̂+2k ̂, b ⃗ = 3i ̂-2j ̂+7k ̂ and c ⃗ = 2i ̂+j ̂+4k ̂. Find a vector d......Q227

Let a = i ̂+2j ̂+3k ̂ , b ⃗=3i ̂+j ̂-k ̂ and c ⃗ be three vectors such that c ⃗ is coplanar with a

Let a =2i ˆ-3j ˆ+k,b =3i ˆ+2j ˆ+5k and a vector c be such that (a ⃗-c ⃗)×b ⃗=-18i ˆ-3j ˆ+12k and

Three vectors a ⃗,b ⃗ and c ⃗ satisfy the condition a ⃗+b ⃗+c ⃗=0. Evaluate the quantity........Q256

If a ⃗=3i ̂-j ̂ and b ⃗=2i ̂+j ̂-3k ̂, then express b ⃗ in the form of b ⃗=(b_1 ) ⃗+(b_2 ) ⃗...;Q231

If a=j ̂-k ̂ and c=i ̂-j ̂-k ̂, then vector 𝐛 satisfying (𝐚 × 𝐛) + 𝐜 = 0 and 𝐚∙𝐛 = 3 is