ISC (Commerce) Class 12CISCE
Share
Notifications

View all notifications

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 - ISC (Commerce) Class 12 - Mathematics

Login
Create free account


      Forgot password?

Question

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

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?

APPEARS IN

Solution 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 Concept: Product of Two Vectors - Scalar (Or Dot) Product of Two Vectors.
S
View in app×