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📐 Mathematics  ·  Vector Algebra  ·  JEE

Scalar multiplication: if k = 3 and a = 2i - j, then ka =

Answer: 6i - 3j.

  • A 6i - 3j
  • B 6i + 3j
  • C 2i - 3j
  • D 5i - 4j

Correct answer: A. 6i - 3j

Explanation: Multiply each component by the scalar: 3(2i - j) = 6i - 3j.

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 →