Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Q212 Marksprojections

CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Question 21 (Vector Algebra)

A vector of magnitude 14 has direction ratios (2,3,−6). Find its scalar projection on the positive x-axis.

✅ Step-by-Step Solution

Final Answer: 4
  1. The norm of the direction triple is √(4+9+36)=7.
  2. Scale the triple by 14/7=2 to obtain (4,6,−12).
  3. The projection onto the first coordinate unit vector is 4.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The norm of the direction triple is √(4+9+36)=7.
  • [1 mark] Scale the triple by 14/7=2 to obtain (4,6,−12).
  • [0.5 marks] The projection onto the first coordinate unit vector is 4.

Master Chapter 10: Vector Algebra

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
Assertion (A): In an experiment of throwing an unbiased die, the…
Next Question →
Vectors a = 3î − 2ĵ + 2k̂ and b = î + 2k̂ represent the two adjacent…

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/1/2

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

Related Questions in Vector Algebra

Class 12 Vector Algebra · Mcq Single Correct
Find |a × b|² + (a · b)².
Class 12 Vector Algebra · Mcq Single Correct
Find the area of triangle OAB, where OA = (1,2,3) and OB = (−3,−2,1).
Class 12 Vector Algebra · Mcq Single Correct
For nonzero vectors a,b with angle θ ∈ [0,π], when is a · b ≥ 0?
Class 12 Vector Algebra · Mcq Single Correct
For a vector a, find (a · i)i + (a · j)j + (a · k)k.
Class 12 Vector Algebra · Mcq Single Correct
Which vector has magnitude 9 and the same direction as (1,−2,2)?
Class 12 Vector Algebra · Mcq Single Correct
Find the position vector dividing the segment from 2a − 3b to a + b internally in the ratio…