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📐 Mathematics  ·  Vector Algebra  ·  JEE

The position vector of point P(3, -2, 5) from the origin is:

Answer: 3i - 2j + 5k.

  • A 3i + 2j - 5k
  • B 3i - 2j + 5k
  • C 3i + 2j + 5k
  • D -3i + 2j + 5k

Correct answer: B. 3i - 2j + 5k

Explanation: Position vector of P(x,y,z) = xi + yj + zk = 3i - 2j + 5k.

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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