a ⃗=i ̂+j ̂-k ̂ and c ⃗=2i ̂-3j ̂+2k ̂. Then number of vectors b ⃗ such that b ⃗×c ⃗=a ⃗, |b ⃗ |∈{1

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If a ⃗=i ̂+j ̂+k ̂ and b ⃗=j ̂-k ̂, find a vector c ⃗, such that a ⃗×c ⃗=b ⃗ and a ⃗⋅ c ⃗=3. If a ⃗=i ̂+j ̂+k ̂ and b ⃗=j ̂-k ̂, find a vector c ⃗, such that a ⃗×c ⃗=b ⃗ and a ⃗⋅ c ⃗=3.
Let a ⃗=2i ̂+j ̂-2k ̂ and b ⃗=i ̂+j ̂. Let c ⃗ be a vector such that |c ⃗-a ⃗ |=3,|(a ⃗×b ⃗ )×c ... Let a ⃗=2i ̂+j ̂-2k ̂ and b ⃗=i ̂+j ̂. Let c ⃗ be a vector such that |c ⃗-a ⃗ |=3,|(a ⃗×b ⃗ )×c ...
Find a ⃗.b ⃗, if a ⃗=-i ̂+j ̂-2k ̂ and b ⃗=2i ̂+3j ̂-k ̂.......Q153 Find a ⃗.b ⃗, if a ⃗=-i ̂+j ̂-2k ̂ and b ⃗=2i ̂+3j ̂-k ̂.......Q153
Find λ if the vectors a ⃗=i ̂+3j ̂+k ̂, b ⃗=2i ̂-j ̂-k ̂ & c ⃗=λi ̂+7j ̂+3k ̂ are coplanar. Find λ if the vectors a ⃗=i ̂+3j ̂+k ̂, b ⃗=2i ̂-j ̂-k ̂ & c ⃗=λi ̂+7j ̂+3k ̂ are coplanar.
Find a ⃗⋅(b ⃗×c ⃗ ), if a ⃗=2i ̂+j ̂+3k ̂, b ⃗=i ̂+2j ̂+k ̂ & c ⃗=3i ̂+j ̂+2k ̂. Find a ⃗⋅(b ⃗×c ⃗ ), if a ⃗=2i ̂+j ̂+3k ̂, b ⃗=i ̂+2j ̂+k ̂ & c ⃗=3i ̂+j ̂+2k ̂.
Let a ⃗ = i ̂+4j ̂+2k ̂, b ⃗ = 3i ̂-2j ̂+7k ̂ and c ⃗ = 2i ̂+j ̂+4k ̂. Find a vector d......Q227 Let a ⃗ = i ̂+4j ̂+2k ̂, b ⃗ = 3i ̂-2j ̂+7k ̂ and c ⃗ = 2i ̂+j ̂+4k ̂. Find a vector d......Q227
Find (a ⃗+3b ⃗ ).(2a ⃗-b ⃗ ), if a ⃗=i ̂+j ̂+2k ̂ and b ⃗=3i ̂+2j ̂-k ̂ ........Q154 Find (a ⃗+3b ⃗ ).(2a ⃗-b ⃗ ), if a ⃗=i ̂+j ̂+2k ̂ and b ⃗=3i ̂+2j ̂-k ̂ ........Q154
Show that the points A(-2i ̂+3j ̂+5k ̂ ),B(i ̂+2j ̂+3k ̂ ) and C(7i ̂-k ̂ ) are collinear. ......Q86 Show that the points A(-2i ̂+3j ̂+5k ̂ ),B(i ̂+2j ̂+3k ̂ ) and C(7i ̂-k ̂ ) are collinear. ......Q86