MHT CET20243 May 2024Evening ShiftMathematicsVector AlgebraActual

The vectors a and b are not perpendicular and c and d are two vectors satisfying b c = b d and a d =0 , then the vector d is equal to

Options

Ab + ( b c a b ) c
Bc - ( a c a b ) b
Cb - ( b c a b ) c
Dc + ( a c a b ) b

Correct answer

B. c - ( a c a b ) b

Step-by-step solution

Given, Vectors a and b are not perpendicular aligned & a ~b 0 & a ~d =0 & ~b c = b d & a ( b c )= a ( b d ) & ( a c ) b -( a ~b ) c =( a ~d ) b -( a ~b ) d & ( a ~b ) d =-( a c ) b +( a ~b ) c & ~d = -( a c ) b a ~b + c & ~d = c - ( a c a ~b ) b aligned

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