Let and . Which one of the following describes the relation between and…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let u=2i^−j^+3k^\mathbf{u}=2\hat i-\hat j+3\hat k and v=4i^−2j^+6k^\mathbf{v}=4\hat i-2\hat j+6\hat k. Which one of the following describes the relation between u\mathbf{u} and v\mathbf{v}? (a) u\mathbf{u} and v\mathbf{v} are perpendicular (90∘)(90^{\circ}). (b) The angle between u\mathbf{u} and v\mathbf{v} is 60∘60^{\circ} (acute but non-zero). (c) u\mathbf{u} and v\mathbf{v} are parallel (0∘)(0^{\circ}). (d) u\mathbf{u} and v\mathbf{v} are anti-parallel (180∘)(180^{\circ})."

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