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📐 Mathematics  ·  Vector Algebra  ·  JEE

The dot product i . i equals:

Answer: 1.

  • A 1
  • B i<sup>2</sup>
  • C 0
  • D -1

Correct answer: A. 1

Explanation: i . i = |i||i|cos0 = 1 x 1 x 1 = 1. Any unit vector dotted with itself equals 1.

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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