For any two vectors a and b, what is the geometric interpretation of |a × b|? A. Area of a triangle with sides a and b B. Area of a parallelogram with adjacent sides a and b C. Volume of a parallelepiped D. Projection of a on b Answer: B) Area of a parallelogram with adjacent sides a and b Explanation: The magnitude of the cross product of two vectors represents the area of a parallelogram whose adjacent sides are given by those vectors.

imo class 12 vector algebra

For any two vectors a and b, what is the geometric interpretation of |a × b|?

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Vector Algebra #mathematical-reasoning

For any two vectors a and b, what is the geometric interpretation of |a × b|?

A. Area of a triangle with sides a and b
B. Area of a parallelogram with adjacent sides a and b
C. Volume of a parallelepiped
D. Projection of a on b

Answer: B) Area of a parallelogram with adjacent sides a and b

Explanation: The magnitude of the cross product of two vectors represents the area of a parallelogram whose adjacent sides are given by those vectors.

0 Answers

Discussion (0)

No comments yet — start the discussion.

← Back to all questions