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Find the vector of magnitude 14… (Class 12 Maths 2026, Q23)

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MathsCBSE Class 12 · Board exam 2026, set 65/1/1 · 2 marks · Very short answer

CBSE Class 12 Mathematics 2026: question 23

Set in the CBSE Class 12 board exam of 2026, paper 65/1/1, section B, question 23, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q23 · 2 marks · Very short answerVector Algebra

Find the vector of magnitude 14 in the direction of , where P and Q are the points (1, 3, 2) and (–1, 0, 8) respectively.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 65/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

= position vector of P minus position vector of Q.

Hint 2

Divide by its magnitude to get a unit vector.

Hint 3

Scale the unit vector to magnitude 14.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. ½ mark

  2. , so the unit vector is

    ½ mark

  3. Required vector

    1 mark

Answer:

Where the marks are

  • Finds (½ mark)
  • Finds magnitude 7 / unit vector (½ mark)
  • Multiplies by 14 to get (1 mark)

Revise the chapter

  • Chapter: Vector Algebra (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Vector Algebra, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 65/1/1: every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.