English

Given that a→.b→=0 and a→×b→=0 What can you conclude about the vectors anda→andb→?

Advertisements
Advertisements

Question

Given that `veca.vecb = 0` and `veca xx vecb = 0` What can you conclude about the vectors `veca and vecb`?

Sum
Advertisements

Solution

It is given that `veca xx vecb = 0, veca xx vecb = 0`

`|veca| = 0; |vecb| = 0; veca ⊥ vecb`

`veca xx vecb = 0`

`|veca| = 0, |vecb| = 0; |veca||vecb|`

`veca xx vecb = 0`

Either `veca = vec0` or `vecb = vec0`         ...[`veca ⊥ vecb "and"  veca | |vecb` are not valid at the same time]

shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Vector Algebra - Exercise 10.4 [Page 454]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 10 Vector Algebra
Exercise 10.4 | Q 6 | Page 454
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×