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📐 Mathematics  ·  Vector Algebra  ·  JEE

The dot product formula a.b = |a||b|cos(theta). If theta = 0, then a.b =

Answer: |a||b|.

  • A |a||b|
  • B 0
  • C -|a||b|
  • D 1

Correct answer: A. |a||b|

Explanation: cos(0) = 1, so a.b = |a||b| x 1 = |a||b|. Parallel vectors have the maximum positive dot product.

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

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