Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q71 Marksdirection_cosines

CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 7 (Vector Algebra)

Which vector of magnitude 3 makes equal angles with the x- and y-axes and is perpendicular to the z-axis?

✅ Step-by-Step Solution

Final Answer: (3√2/2,3√2/2,0)
  1. Its first two components must be equal and its third zero. The listed positive choice has components 3/√2 and 3/√2.

Master Chapter 10: Vector Algebra

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
If |a|=5 and −2≤λ≤1, find the sum of the largest and smallest values…
Next Question →
Find the listed direction cosines of x=y=1−z.

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

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…