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📐 Mathematics  ·  Vector Algebra  ·  JEE

The area of a parallelogram with adjacent sides a and b is:

Answer: |a x b|.

  • A |a x b|
  • B a.b
  • C 2|a x b|
  • D (1/2)|a x b|

Correct answer: A. |a x b|

Explanation: Area of parallelogram = |a x b|. The area of the triangle formed by these vectors = (1/2)|a x b|.

xya (4,1)b (2,3)a + b (6,4)

Triangle law of vector addition: placing vector b at the head of vector a, the diagonal from the start to the final head gives the resultant a + b.

Concept context

Vectors, dot product, cross product, and geometric applications

Read the full Vector Algebra notes →