The unit vector perpendicular to both A ⃗=2i ̂+ j ̂+k ̂ and B ⃗=i ̂- j ̂+ 2k ̂ is

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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 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 ̂ be a unit vector perpendicular to the vectors b ⃗ = i ̂-2j ̂+3k ̂ and c ⃗=2i ̂+3j ̂-k ̂, an Let a ̂ be a unit vector perpendicular to the vectors b ⃗ = i ̂-2j ̂+3k ̂ and c ⃗=2i ̂+3j ̂-k ̂, an
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
Find the value of (𝑎 ⃗×𝑖 ̂ )⋅𝑖 ̂+(𝑎 ⃗×𝑗 ̂ )⋅𝑗 ̂+(𝑎 ⃗×𝑘 ̂ )⋅𝑘 ̂ Find the value of (𝑎 ⃗×𝑖 ̂ )⋅𝑖 ̂+(𝑎 ⃗×𝑗 ̂ )⋅𝑗 ̂+(𝑎 ⃗×𝑘 ̂ )⋅𝑘 ̂
the unit vector perpendicular to each of the vectors (3i ̂+j ̂+2k ̂ ) and (2i ̂-2j ̂+k ̂ ) is given the unit vector perpendicular to each of the vectors (3i ̂+j ̂+2k ̂ ) and (2i ̂-2j ̂+k ̂ ) is given
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.
If a ⃗ and b ⃗ are non-collinear vectors such that x_1 a ⃗+y_1 b ⃗=x_2 a ⃗+y_2 b ⃗, then prove...... If a ⃗ and b ⃗ are non-collinear vectors such that x_1 a ⃗+y_1 b ⃗=x_2 a ⃗+y_2 b ⃗, then prove......