Find a unit vector in XY plane, which makes an angle of `45^@` with the vector `hat i +hat j` and an angle of `60^@` with the vector `3hat i – 4hat j`.

A unit vector in the xy-plane that makes an angle of (pi)/(4) with the vector hat i+hat j and an angle of with the vector 3hat i-4hat j is

The vector (hat i +hat j) is a unit vector.

Find the angle between the vectors hat i +hat j and hat i -hat j

Find the angle between the vectors hat i-hat j and hat j-hat k .

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find a vector of magnitude 6 units which is at right angles to both the vectors 2 hat i- hat j +2 hat k and 4 hat i- hat j+3 hat k

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the unit vector in the direction of the sum of the vectors 2hat i+3hat j-hat k and 4hat i-3hat j+2hat j