AP EAMCET20225 Jul 2022Morning ShiftMathematicsVector AlgebraActual

Let F =2 i +2 j +5 k , A=(1,2,5) , B=(-1,-2,-3) and B A F =4 i +6 j +2 k , then =

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Correct answer

D. -2

Step-by-step solution

Given, aligned & F =2 i+2 j+5 k, A=(1,2,5) & B=(-1,-2,-3) & B A = A - B =( i +2 j +5 k )-(- i -2 j -3 k ) & B A =2 i +4 j +8 k aligned B A F = | array lll i & j & k 2 & 4 & 8 2 & 2 & 5 array | aligned & = i (20-16)- j (10-16)+ k (4-8) & =4 i +6 j -4 k aligned So, 4 i +6 j -4 k =4 i +6 j +2 k 2 =-4 =-2

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