Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Q61 Marksvector_algebra

CBSE Class 12 Mathematics 2026 Main Paper 65/1/2 · Question 6 (Vector Algebra)

The value of p for which vectors î + 2ĵ + 3k̂ and 2î − p ĵ + k̂ are perpendicular to each other is

✅ Step-by-Step Solution

Final Answer: (C) 5/2
  1. Dot product = 1·2 + 2·(−p) + 3·1 = 2 − 2p + 3 = 5 − 2p.
  2. Set 5−2p=0 ⇒ p=5/2.

Master Chapter 10: Vector Algebra

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
Find the order and degree of d(sin y)/dx=y².
Next Question →
The value of m for which the points with position vectors −î − ĵ +…

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…