Home
Class 11
PHYSICS
Find the angle between the vectors vec a...

Find the angle between the vectors `vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k`

Text Solution

Verified by Experts

`cos theta =(vec(A)vec(B))/(|vec(A)||vec(B)|)=(2x1+1xx0+(-1)xx(-1))/(sqrt(2^(2)+1^(2)+(-1)^(2))sqrt(1^(2)+0^(2)+(-1)^(2)))=(sqrt(3))/(2)`
`30^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

Find the angle between the vectors vec a= hat i- hat j+ hat k\ a n d\ vec b= hat i+ hat j- hat kdot

find the cosine of the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

Find the area of a parallelogram whose adjacent sides are given by the vectors vec a=3 hat i+ hat j+4 hat k and vec b= hat i- hat j+ hat k .

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a= hat i- hat j+3 hat k and vec b=2 hat i-7 hat j+ hat k .

Find the unit vector in the direction of the sum of the vectors, vec a=2 hat i+2 hat j-5 hat k and vec b=2 hat i+ hat j+3 hat k .

Find the values of x, y and z so that the vectors vec a=x hat i+2 hat j+z hat k and vec b=2 hat i+y hat j+ hat k are equal.

Find the angle between the vectors vec a\ a n d\ vec b where: vec a= hat i+2 hat j- hat k ,\ vec b= hat i- hat j+ hat k

Find the angle between the vector vec(a) =2 hat(i) + 3hat(j) - 4 hat(k) and vec(b) = 4hat(i) +5 hat(j) - 2hat(k) .