Home
Class 11
PHYSICS
Obtain the magnitude and direction cosin...

Obtain the magnitude and direction cosines of vector `(A-B),` if `A=2hati+3hatj+hatk, B=2hati+2hatj+3hatk`

A

`0,(1)/(sqrt(5)),(-2)/(sqrt(5))`

B

`0,(2)/(sqrt(5)),(1)/(sqrt(5))`

C

`0,0,(1)/(sqrt(5))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
(a) WE have `A-B =hatj-2hatk=C`
`C=sqrt(1+4)=sqrt(5)`
`cos alpha=(o)/(sqrt(5))=0,cosbeta=(1)/(sqrt(5))and cos gamma =(-2)/(sqrt(5))`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    DC PANDEY ENGLISH|Exercise Exercise|13 Videos

  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|14 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the vector hati+2hatj+3hatk .

Find the direction cosines of the vector: hati+2hatj+6hatk

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

Find the direction cosines of the vector 2hati+2hatj-hatk

The direction cosines of the vector (2 hati + 2 hatj -hatk) are "___________."

The direction cosines of the vector 3hati-4hatj+5hatk are

The direction cosines of the vector 3hati-4hatj+5hatk are

A unit vector in the direction of resultant vector of vecA = -2hati + 3hatj + hatk and vecB = hati + 2 hatj - 4 hatk is

Find the unit vector in the direction of the resultant of vectors hati-hatj+hat3k, 2hati+hatj-2hatk and 2hatj-2hatk

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .