MHT CET202620 April 2026Morning ShiftPhysicsMathematics in PhysicsActual

The area of parallelogram formed by vectors P = 2 i - j + 5 k and Q = 3 i - 2 j + 4 k is

Options

A72
B86
C104
D240

Correct answer

B. 86

Step-by-step solution

The area of the parallelogram formed by vectors P and Q is given by | P Q | . P Q = vmatrix i & j & k 2 & -1 & 5 3 & -2 & 4 vmatrix = i ((-1)(4) - (5)(-2)) - j ((2)(4) - (5)(3)) + k ((2)(-2) - (-1)(3)) = i (-4 + 10) - j (8 - 15) + k (-4 + 3) = 6 i + 7 j - k The magnitude of the cross product is: | P Q | = 6^2 + 7^2 + (-1)^2 = 36 + 49 + 1 = 86 Answer: 86

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