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

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

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Magnitude and Direction of a Vector | PadhAiPro

Question

TextMagnitude and Direction of a VectorCBSE PYQ

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

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

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

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

If a⃗ and b⃗ are two vectors of equal magnitude and α is the angle between them, then prove that |a⃗ + b⃗|/|a⃗ – b⃗| = cot(α/2).

If a⃗ = î+ĵ+k̂, a⃗.b⃗=1 and a⃗×b⃗ = ĵ-k̂, then find |b⃗|