Find the angle between the planes whose vector equations are ` vec r.(2 hat i+2 hat j-3 hat k)=5`and ` vec r.(3 hat i-3 hat j+5 hat k)=3`.

Find the angle between the planes whose vector equations are vec r*(2hat i+2hat j-3hat k)=5 and vec r*(3hat i-3hat j+5hat k)=3

Find the angle between the planes whose vector equations are vec(r)*(2hat(i)+2hat(j)-3hat(k))=5 " and " vec(r)*(3hat(i)-3hat(j)+5hat(k))=3 Note : Angle between two planes is the angle between vec(n_(1)) " and " vec(n_(2))

Find the shortest distance between the lines whose vector equations are vec r=( hat i+2 hat j+3 hat k)+ lambda(hat i-3 hat j+2 hat k) and vec r=(4 hat i +5 hat j+6 hat k)+mu(2 hat i +3 hat j+ hat k)

Find the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

Find the shortest distance between the following pairs of line whose vector equation are: vec r=( hat i+2 hat j+3 hat k+lambda(2 hat i+3 hat j+4 hat k)a n d\ vec r=(2 hat i+4 hat j+5 hat k)+mu(3 hat i+4 hat j+5 hat k)

Find angle between the vectors ,When vec a = hat i -2 hat j +3 hat k and vec b = 3 hat i -2 hat j + hat k

the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3