Find the length of the vector represented by the directed line segment with initial point P(2, -3, 4) and terminal point Q(-2, 1, 1).

Question

Question

This question was previously asked in

AAI ATC Junior Executive 27 July 2022 Shift 1 Official Paper

Answer 1

Concept-

Length of vector

Let Initial point A(x₁, y₁, z₁) and terminal point B(x₂, y2, z2) of a vector than

Calculation-

Initial point is P(2,-3,4) and terminal point Q(-2, 1, 1)

Vector = (-2 - 2) + (1 - (-3))+ (1 - 4)

Vector = -4 + 4 - 3

Now the length of a vector is given by

∴ length of vector

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