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📐 Mathematics  ·  Vector Algebra  ·  JEE

The unit vector along vector a is:

Answer: a / |a|.

  • A a / |a|
  • B a x |a|
  • C a - |a|
  • D a + |a|

Correct answer: A. a / |a|

Explanation: To find a unit vector in the direction of a, divide the vector by its magnitude: a<sub>hat</sub> = a / |a|.

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 →