मराठी

Let the vectors a→ and b→ be such that |a→|=3 and |b→|=23, then a→×b→ is a unit vector, if the angle between a→ and b→ is ______.

Advertisements
Advertisements

प्रश्न

Let the vectors `veca` and `vecb` be such that `|veca| = 3` and `|vecb| = sqrt2/3`, then `veca xx vecb` is a unit vector, if the angle between `veca` and `vecb` is ______.

पर्याय

  • `pi/6`

  • `pi/4`

  • `pi/3`

  • `pi/2`

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

Let the vectors `veca` and `vecb` be such that `|veca| = 3` and `|vecb| = sqrt2/3`, then `veca xx vecb` is a unit vector, if the angle between `veca` and `vecb` is `underline(pi/4)`

Explanation:

`|veca| = 3, |vecb| = sqrt2/3`

`|veca xx vecb| = 1`

`|veca||vecb||sinthetahatn| = 1`

`|veca||vecb||sintheta| = 1`

`3 xx sqrt2/2 xx sintheta = 1`

`sintheta = 1/sqrt2`

`theta = pi/4`

The correct option is `pi/4`.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Vector Algebra - Exercise 10.4 [पृष्ठ ४५५]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 10 Vector Algebra
Exercise 10.4 | Q 11 | पृष्ठ ४५५
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×