Home
Class 12
MATHS
Find the projection of the veca=2 hat i+...

Find the projection of the `veca`=`2 hat i+3 hat j+2 hat k`on the `vecb`=` hat i+2 hat j+ hat k`.

Text Solution

Verified by Experts

Here, `vec(a) = 2hati+3hatj+2hatk` and `vec(b) = hati+2hatj+hatk`
Projection of `vec(a)` on `vec(b)` can be given by = `(veca.vecb)/|vecb|`
`=2+6+2/sqrt(1+4+1) = 10/sqrt(6)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the projection of the vector hat i+3hat j+7hat k on the vector 7hat i-hat j+8hat k

Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

Find the projection of vector hat i+3hat j+7hat k on the vector 7hat i-hat j+8hat k

Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is :

What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors: vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k vec a=11 hat i , vec b=2 hat j- hat k , vec c=13 hat k vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k

What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

What is the projection of vec(a)=(2hat(i)-hat(j)+hat(k)) on vec(b)=(hat(i)-2hat(j)+hat(k))?

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Find the area of the rriangle formed by the tips of the vectors, vec a= (2 hat I - hat j+ 3 hat k), vec b= 4 hat I + 3 hat j-hat k , vec C= 3 hat I - hat j + 2 hat k .