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Question

Engineering Mathematics Question on Vector Calculus

Vectors a = 2i+3j-4k and b = 4i+2j+3k represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both a and b respectively, are

A

28.93 and 0.58i - 0.76j – 0.27k

B

28.93 and 17.0i - 22.0j - 8.0k

C

14.46 and 0.58i - 0.76j -0.27k

D

14.46 and 17.0i-22.0j- 8.0k

Answer

14.46 and 0.58i - 0.76j -0.27k

Explanation

Solution

The correct option is (C): 14.46 and 0.58i - 0.76j -0.27k