Write the number of vectors of unit length perpendicular to both the vectors ` vec a=2 hat i+ hat j+2 hat k` and ` vec b= hat j+ hat k`

The number of unit vectors perpendicular to the vector vec(a) = 2 hat(i) + hat(j) + 2 hat(k) and vec(b) = hat(j) + hat(k) is

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

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

Find a vector of magnitude 49, which is perpendicular to both the vectors 2 hat i+3 hat j+6 hat k and 3 hat i-6 hat j+2 hat k . Find a vector whose length is 3 and which is perpendicular to the vector vec a=3 hat i+ hat j-4 hat k and vec b=6 hat i+5 hat j-2 hat k .

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i) - 6 hat(j) - 3 hat(k) and vec(b) = 4 hat(i) + 3 hat(j) - hat(k) are

Find a vector of magnitude 5 units and parallel to the resultant of the vectors vec a=2hat i +3hat j -hat k and vec b=hat i-2hat j+ hat k

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

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