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

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

Find (a ⃗+3b ⃗ ).(2a ⃗-b ⃗ ), if a ⃗=i ̂+j ̂+2k ̂ and b ⃗=3i ̂+2j ̂-k ̂ ........Q154

Let u ⃗ be a vector coplanar with the vectors a ⃗=2i ̂+3j ̂-k ̂ and b ⃗=j ̂+k ̂. If u ⃗ is perpendi

If a ⃗=i ̂-j ̂+7k ̂ and b ⃗=5i ̂-j ̂+λk ̂, then find the value of λ, so that a ⃗+b ⃗ ........Q171

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

Let a,b,c be distinct non-negative numbers.If the vectors ai ̂+aj ̂+ck ̂,i ̂+k ̂ and ci ̂+cj ̂+bk ̂

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