Home
Class 12
MATHS
Statement 1 : If |veca | = 3, |vecb| = 4...

Statement 1 : If `|veca | = 3, |vecb| = 4 and |veca + vecb| = 5`, then `|veca - vecb|=5`.
Statement 2 : The length of the diagonals of a rectangle is the same.

A

Both the statements are true, and Statement 2 is the correct explanation for Statement 1.

B

Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.

C

Statement 1 is true and Statement 2 is false.

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
A
We have adjacnt sides of triangle `|veca|= 3, |vecb|= 4`.
The length of the diagonal is `|veca + vecb|=5`.
Since it satisfies the Pythagoras theorem, `veca bot vecb`.
Hence, the parallelogram is a rectangle.
Hence, the length of the other diagonals is `|veca - vecb|=5`.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise LINKED COMPREHENSION TYPE|2 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise Exercise (Comprehension)|9 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise Exercise (Multiple)|13 Videos

  • INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|324 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Question Bank|24 Videos

Similar Questions

Explore conceptually related problems

If | veca| = 2 |vecb|=5 and | veca xx vecb| = 8 , then | veca. vecb| is equal to :

If |veca|=5 , |veca-vecb| = 8 and |veca +vecb|=10 then find |vecb|

Statement 1 : If |veca + vecb| = |veca - vecb| , then veca and vecb are perpendicular to each other. Statement 2 : If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

If |veca|=2, |vecb|=5 and |vecaxxvecb|=8 then find the value of veca.vecb

Find veca.vecb if |veca|2, |vecb|=5,a and |vecaxxvecb|=8

If |veca|=2,|vecb|=3 and |2veca-vecb|=5, then |2veca+vecb| equals: (A) 17 (B) 7 (C) 5 (D) 1

If |veca - vecb|=|veca| =|vecb|=1 , then the angle between veca and vecb , is

If |veca|=|vecb|=|veca+vecb|=1 then find the value of |veca-vecb|

Find vecA*vecB if |vecA|= 2, |vecB|= 5, and |vecAxx vecB|=8