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Two vectors depends on time t as follows Ā = (t+3) î–(2+1) B = 3tî + 2(t+1)] Then The vectors are perpendicular at t = 1 The vectors are parallel at t= 1 The vectors never become parallel The vectors become parallel at some​

Answer»

AnswerCorrect option isA53 ∘ with x-axisGiven: r =3t i^ +2t 2 j^ +5 K^ Velocity, v = dtd r = dtd(3t i^ +2t 2 j^ +5 k^ ) =3 i^ +4t j^ ms −1 LET θ be the angle in which the direction of v MAKES with the x-axis. At t=1sec:Then tanθ = v x v y = 34t = 34 or θ=tan −1 ( 34 )=53 ∘



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