AP EAMCET202023 Sep 2020Morning ShiftMathematicsVector AlgebraActual

Let u and v be two vectors. Then, u - v = | u - v | if and only if

Options

Au = v
Bu and v have the opposite direction
Cu and v have the same direction
Du and v are perpendicular to each other

Correct answer

C. u and v have the same direction

Step-by-step solution

Let u and v be two vector ⇒ u - v = u - v (Given) ⇒ ( u - v ) 2 = ( u - v ) 2 ⇒ u 2 + v 2 - 2 u v = u 2 + v 2 - 2 u v   cos θ ⇒ cos θ = 1 ⇒ θ = 0 ,   2 π ⇒   u and v have the same direction.

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