The vectors →a = 2î – ĵ + k̂, →b = î – 3ĵ – 5k̂ and →c = –3î + 4ĵ + 4k̂ represents the sides of

Question

MCQ (Single)Magnitude and Direction of a VectorCBSE PYQ

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If |a→| = 2 and – 3 ≤ k ≤ 2, then |ka→| ∈ :

If →a + →b = î and →a = 2î − 2ĵ + 2k̂, then |→b| equals :

A unit vector along the vector 4î - 3k̂ is :

MCQ (Single)Unit Vector and Its PropertiesMagnitude and Direction of a Vector

The magnitude of the vector 6î − 2ĵ + 3k̂ is

In a parallelogram PQRS, PQ = 3î − 2ĵ + 2k̂ and PS = −î − 2k̂. Find |PR| and |QS|.

If a→ and b→ are unit vectors and θ is the angle between them, then prove that sin(θ/2) = (1/2)|a→ - b→|.