MHT CET202123 Sep 2021Evening ShiftMathematicsVector AlgebraActual

If A (3,2,-1), B (-2,2,-3) and D (-2,5,-4) are the vertices of a parallelogram, then the area of the parallelogram is

Options

A296 sq. units
B286 sq. units
C300 sq. units
D300 sq. units

Correct answer

B. 286 sq. units

Step-by-step solution

We have A (3,2,-1), B (-2,2,-3) and D (-2,5,-4) AB =-5 i -2 k and AD =-5 i +3 j -3 k Area of parallelogram =| AB AD | Now aligned & AB AD = | array ccc i & j & k -5 & 0 & -2 -5 & 3 & -3 array |= i (6)- j (5)+ k (-15)=6 i -5 j -15 k & Area = (6)^2+(-5)^2+(-15)^2 aligned

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