, , I. A, B and C are vectors having a unit magnitude.If A⃗+B⃗+C⃗=0 then A⃗·B⃗+B⃗·C⃗+C⃗·A⃗ will b...

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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)...
Three vectors a⃗, b⃗ and c⃗ satisfy the condition a⃗+b⃗+c⃗=0. Evaluate the quantity μ=a⃗·b⃗+b⃗·c⃗... Three vectors a⃗, b⃗ and c⃗ satisfy the condition a⃗+b⃗+c⃗=0. Evaluate the quantity μ=a⃗·b⃗+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
Reciprocal sets of vectors | To prove a⃗ Reciprocal sets of vectors | To prove a⃗ '= (b⃗×c⃗)/(a⃗.b⃗×c⃗ ), b⃗ '=(c⃗×a⃗)/(a⃗.b⃗×c⃗ ) |
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=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 ...
Walter Lewin explains the properties of vector cross product Walter Lewin explains the properties of vector cross product
If unit vectors a⃗ and b⃗ are inclined at an angle 2 θ such that |a⃗-b⃗|1 and 0 ≤θ≤π, then θ lies... If unit vectors a⃗ and b⃗ are inclined at an angle 2 θ such that |a⃗-b⃗|1 and 0 ≤θ≤π, then θ lies...