If a⃗, b⃗, c⃗ are unit vectors such that a⃗+b⃗+c⃗=0, then the value of a⃗·b⃗+b⃗·c⃗+c⃗·a⃗ is (A) 1...

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For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if ;(A) a⃗·b⃗=0, b⃗·c⃗=... For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if ;(A) a⃗·b⃗=0, b⃗·c⃗=...
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)...
Given that A⃗×B⃗=B⃗×C⃗=0. If A⃗, B⃗ and C⃗ are not null vectors, find the value of C⃗×A⃗ Given that A⃗×B⃗=B⃗×C⃗=0. If A⃗, B⃗ and C⃗ are not null vectors, find the value of C⃗×A⃗
For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar. For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar.
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+...
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 ...
Compute the magnitude of the following vectors; a⃗=î+ĵ+k̂ ; b⃗=2 î-7 ĵ-3 k̂ ; c⃗=1/√(3)î... Compute the magnitude of the following vectors; a⃗=î+ĵ+k̂ ; b⃗=2 î-7 ĵ-3 k̂ ; c⃗=1/√(3)î...
Let a⃗, b⃗ and c⃗ be three vectors such that |a⃗|=3,|b⃗|=4,|c⃗|=5 and each one of them being perp... Let a⃗, b⃗ and c⃗ be three vectors such that |a⃗|=3,|b⃗|=4,|c⃗|=5 and each one of them being perp...