Question

What is the general formula for finding the magnitude of the cross product of two vectors a and b with angle θ between them?

(a) |a|.|b|

(b) |a|.|b| cos(θ)

(c) |a|.|b| sin(θ)

(d) |a|.|b| tan(θ)

This question was addressed to me in exam.

I want to ask this question from Computational Geometry topic in portion Computational Geometry of Data Structures & Algorithms II

Answer 1

The correct answer is (c) |a|.|b| sin(θ)

Best explanation: The general formula for finding the magnitude of cross product of two vectors is |a|.|b| sin(θ). Its direction is perpendicular to the plane containing a and b.