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The vector with terminal point A (2, – 3, 5) and initial point B (3, – 4, 7) is :
If |a→| = 2 and – 3 ≤ k ≤ 2, then |ka→| ∈ :
The vectors →a = 2î – ĵ + k̂, →b = î – 3ĵ – 5k̂ and →c = –3î + 4ĵ + 4k̂ represents the sides of
An instructor at the astronomical centre shows three among the brightest stars in a particular constellation. Assume that the telescope is located at O(0, 0, 0) and the three stars have their locations at the points D, A and V having position vectors 2î + 3ĵ + 4k̂, 7î + 5ĵ + 8k̂ and –3î + 7ĵ + 11k̂ respectively.
The position vectors of points P and Q are p⃗ and q⃗ respectively. The point R divides line segment PQ in the ratio 3 : 1 and S is the mid-point of line segment PR. The position vector of S is :
If →a + →b = î and →a = 2î − 2ĵ + 2k̂, then |→b| equals :
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