Home
Class 12
MATHS
Find the angel between the planes 2x+y...

Find the angel between the planes `2x+y-2z+3=0a n d vec rdot(6 hat i+3 hat j+2 hat k)=5.`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(11)/(21)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the angle between the line vec r= hat i+2 hat j- hat k+lambda( hat i- hat j+ hat k) and the plane vec r .(2 hat i- hat j+ hat k)=4.

Find the shortest distance between the lines vec r=(4 hat i- hat j)+lambda( hat i+2 hat j-3 hat k)a n d vec r=( hat i- hat j+2 hat k)+mu(2 hat i+4 hat j-5 hat k)dot .

The angle between the line bar r = (2 hat i - hat j + hat k) + lambda( - hat i + hat j + hat k) and the plane bar. (3 hat i + 2 hat j - hat k) = 4 is...............

Find the equation of the plane passing through (3,4,-1), which is parallel to the plane vec rdot (2 hat i-3 hat j+5 hat k) +7=0.

Find the radius of the circular section in which the sphere | vec r|=5 is cut by the plane vec rdot( hat i+ hat j+ hat k)=3sqrt(3.)

Find the shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(2 hat i+ hat j+2 hat k)a n d vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

The distance between the line bar r = 2 hat i - 2 hat j + 3 hat k + lambda(hat i - hat j + 4 hat k) and the plane bar r. (hat i + 5 hat j + hat k) = 5 is..........

Find the angle between vec(P) = - 2hat(i) +3 hat(j) +hat(k) and vec(Q) = hat(i) +2hat(j) - 4hat(k)

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

The equation of the plane passing through the point hat i + 2 hat j + - hat k and perpendicular to the intersection line of the planes bar r . ( 3 hat i - hat j + hat k) = 1 and bar (hat i + 4 hat j - 2 hat ) = 2 is.............