Let OA=a⃗ and OB=b⃗. A vector along one of the bisectors of the angle ∠ A O B is (a) a⃗+b⃗ (b) a⃗...

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Let a⃗ and b⃗ be two unit vectors such that a⃗·b⃗=0. For some x, y ∈ℝ, let c⃗=x a⃗+y b⃗+(a⃗×b⃗). ... Let a⃗ and b⃗ be two unit vectors such that a⃗·b⃗=0. For some x, y ∈ℝ, let c⃗=x a⃗+y b⃗+(a⃗×b⃗). ...
The vector a⃗+b⃗ bisects the angle between the non-collinear vectors a⃗ and b⃗ if Physics Wal: The vector a⃗+b⃗ bisects the angle between the non-collinear vectors a⃗ and b⃗ if Physics Wal:
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The angle between vectors A⃗ and B⃗ is 60^∘. What is the ratio of A⃗·B⃗ and |A⃗×B⃗| ? The angle between vectors A⃗ and B⃗ is 60^∘. What is the ratio of A⃗·B⃗ and |A⃗×B⃗| ?
If |A⃗+B⃗|=|A⃗|+|B⃗| then angle between A and B will be (a) 90^∘ (b) 120^∘ (c) 0^∘ (d) 60^∘. (200... If |A⃗+B⃗|=|A⃗|+|B⃗| then angle between A and B will be (a) 90^∘ (b) 120^∘ (c) 0^∘ (d) 60^∘. (200...
Let a⃗, b⃗, c⃗ be three unit vectors and a⃗·b⃗=a⃗·c⃗=0. If the angle between b⃗ and c⃗ is π/3 the... Let a⃗, b⃗, c⃗ be three unit vectors and a⃗·b⃗=a⃗·c⃗=0. If the angle between b⃗ and c⃗ is π/3 the...
If a⃗ and b⃗ are two unit vectors and θ is the angle between them, then the unit vector along the... If a⃗ and b⃗ are two unit vectors and θ is the angle between them, then the unit vector along the...
If a⃗=î+ĵ+k̂ and b⃗=ĵ-k̂, find a vector c⃗ such that a⃗×c⃗=b⃗ and a⃗·c⃗=3. let c⃗=x ĉ+y +z k̂ a⃗×... If a⃗=î+ĵ+k̂ and b⃗=ĵ-k̂, find a vector c⃗ such that a⃗×c⃗=b⃗ and a⃗·c⃗=3. let c⃗=x ĉ+y +z k̂ a⃗×...