Home
Class 12
MATHS
find the projection of the vector hati+2...

find the projection of the vector `hati+2hatj+3hatk` on the vector `5hati-2hatj+4 hatk`

Text Solution

Verified by Experts

Let `veca=hati+3hatj+7hatj+7hatkand vecb=7hatj-hatj+8hatk`
Now, projection of vector `veca on vecb` is given by
`1/(|vecb|)(veca.vecb)=1/(sqrt(7^(2)+(-1)^(2)+8^(2))){(7)+3(-1)+7(8)}`
`(7-3=56)/(sqrt(49+1+64))=60/(sqrt114)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Exercise 2.1|18 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Exercise 2.2|15 Videos
  • DETERMINANTS

    CENGAGE PUBLICATION|Exercise All Questions|262 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|578 Videos

Similar Questions

Explore conceptually related problems

find the projection of the vector hati-3hatj-7hatk on the vector 7hati-hatj-8 hatk

Find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8hatk .

Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

Find the projection of the vector hati-hatj on the vector 7hati+hatj .

Find the projection of the vector vecP=2hati-3hatj+6hatk on the vector vecQ=hati+2hatj+2hatk .

The projection of the vector veca=2hat(i)-hatj+hatk on the vector vecb=hati-2hat(j)+hatk will be

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

If the scalar projection of vector xhati-hatj+hatk on vector 4hati-2hatj+5hatk is 1/(3sqrt5) . The find the value of x.