Home
Class 12
MATHS
If vec(a)=-vec(b), then |vec(a)|=|vec(b)...

If `vec(a)=-vec(b)`, then `|vec(a)|=|vec(b)|` .

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (D. Very Short Answers Type Questions)|25 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.1)|5 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

If |vec(a)|=|vec(b)| , then vec(a)=vec(b) .

If vec(a)=vec(b)+vec(c ) , then |vec(a)|=|vec(b)+vec(c )| .

Prove that |vec(a)|-|vec(b)|le |vec(a)-vec(b)| .

Consider the following inequalities in respect of vector vec(a) and vec(b) 1. |vec(a) + vec(b)| le |vec(a)| + |vec(b)| 2. |vec(a) - vec(b)| ge |vec(a)|- |vec(b)| Which of the above is/are correct?

Establish the following vector in equalities: (i) |vec(a)-vec(b)| le |vec(a)| +|vec(b)| (ii) |vec(a) -vec(b)| ge |vec(a)| - |vec(b)| What does the equality sign apply ?

(a) What is the geometric significance of the relation |vec(a)+vec(b)|=|vec(a)-vec(b)| ? (b) Prove geometrically that |vec(a)+vec(b)|le |vec(a)|+|vec(b)| .

Consider the following inequalities in respect of vectors vec(a) and vec(b) : 1. |vec(a)+vec(b)| £|vec(a)|+|vec(b)| 2. |vec(a)-vec(b)|3|vec(a)|-|vec(b)| Which of the above is/are correct ?

The inequality |vec(a).vec(b)|le |vec(a)||vec(b)| is called :

Let |vec(a)| # 0.|vec(b)| ne 0 (vec(a) + vec(b)). (vec(a) + vec(b)) = |vec(a)|^(2) + |vec(b)|^(2) holds if and only if