If a⃗ and b⃗ are unit vectors such that (a⃗+b⃗) ·(2 a⃗+3 b⃗) ×(3 a⃗-2 b⃗)=0, then angle between a...

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The magnitude of vectors A⃗, B⃗ and C⃗ are 3,4 and 5 units respectively. If A⃗+B⃗=C⃗, the angle b... The magnitude of vectors A⃗, B⃗ and C⃗ are 3,4 and 5 units respectively. If A⃗+B⃗=C⃗, the angle b...
Vectors A⃗ and B⃗ include an angle θ between them. If (A⃗+B⃗) and (A⃗-B⃗) respectively subtend an... Vectors A⃗ and B⃗ include an angle θ between them. If (A⃗+B⃗) and (A⃗-B⃗) respectively subtend an...
b⃗ and c⃗ are unit vectors. Then for any arbitrary vector a⃗,(((a⃗×b⃗)+(a⃗×c⃗)) ×(b⃗×c⃗)) (b⃗-c⃗)... b⃗ and c⃗ are unit vectors. Then for any arbitrary vector a⃗,(((a⃗×b⃗)+(a⃗×c⃗)) ×(b⃗×c⃗)) (b⃗-c⃗)...
Two vectors are given by A⃗=(3 î+ĵ+3 k̂) and B⃗=(3 î+5 ĵ-2 k̂). Find the third vector C⃗ if A⃗+3 ... Two vectors are given by A⃗=(3 î+ĵ+3 k̂) and B⃗=(3 î+5 ĵ-2 k̂). Find the third vector C⃗ if A⃗+3 ...
If a⃗, b⃗ and c⃗ are three mutually orthogonal unit vectors, then the triple product [a⃗+b⃗+c⃗a⃗+... If a⃗, b⃗ and c⃗ are three mutually orthogonal unit vectors, then the triple product [a⃗+b⃗+c⃗a⃗+...
Find a unit vector perpendicular to each of the vectors a⃗+b⃗ and a⃗-b⃗, where a⃗=3 î+2 ĵ+2 k̂ an... Find a unit vector perpendicular to each of the vectors a⃗+b⃗ and a⃗-b⃗, where a⃗=3 î+2 ĵ+2 k̂ an...
The angle between A⃗+B⃗ and A⃗×B⃗ is (1) 0 (2) π / 4 (3) π / 2 (4) π The angle between A⃗+B⃗ and A⃗×B⃗ is (1) 0 (2) π / 4 (3) π / 2 (4) π
Let a⃗=a_1î+a_2ĵ+a_3k̂, b⃗=b_1î+b_2ĵ+b_3k̂ and c⃗=c_1î+c_2ĵ+c_3k̂ be three non-zero vectors such ... Let a⃗=a_1î+a_2ĵ+a_3k̂, b⃗=b_1î+b_2ĵ+b_3k̂ and c⃗=c_1î+c_2ĵ+c_3k̂ be three non-zero vectors such ...