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AP EAMCET20226 Jul 2022Morning ShiftMathematicsVector AlgebraActual

If a =(p,-2,5) and b =(1, q,-3) are collinear vectors then

Options

  1. Ap= 5 3 , q= 6 5
  2. Bp= -5 3 , q= -6 5
  3. Cp= 5 3 , q= -6 5
  4. Dp= -5 3 , q= 6 5

Correct answer

D. p= -5 3 , q= 6 5

Step-by-step solution

Given vectors are a =p i -2 j +5 k and b =p i +q j -3 k According to questions, vectors are collineur. aligned & a = b & ( P -2 j +5 k )= ( i + q j -3 k ) & P i -2 j +5 k = i + q j -3 k & i ( p - )+ j (-2+ q )+ k (5+3 )=0 aligned compare each comonent, aligned & 5+3 =0 & = -5 3 & P = & P = -5 3 & - q -2=0 & q = -2 = -2 3 -5 = 6 5 aligned So, p = -5 3 , q = 6 5

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