Advertisement Remove all ads

Find `Lambda` If the Scalar Projection of `Vec a = Lambda Hat I + Hat J + 4 Hat K` on `Vec B = 2hati + 6hatj + 3hatk` is 4 Units - Mathematics

Find `lambda` if the scalar projection of `vec a = lambda hat i + hat j + 4 hat k` on `vec b = 2hati + 6hatj + 3hatk` is 4 units

Advertisement Remove all ads

Solution

Projection of `vec a` on `vec b` is `(vec a . vec b)/|vecb| = 4`

`= ((lambdahati + hatj + 4hatk).(2hati+6hatj + 3hatk))/(sqrt(2^2 + 6^2 + 3^2)) = 4`

`:. (2lambda + 6(1) + 4(3))/sqrt49  = 4`

`:. (2lambda + 18)/7  = 4`

`:. 2lambda = 28 - 18 `

`:. 2lambda = 10`

`lambda = 5`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×