Find a vector in the direction of `veca = hat i - 2 hat j` that has a magnitude 7 units.

Find a vector in the direction of vec r = 3 hat i - 4 hat j that has a magnitude 9.

Find a vector in the direction of vector 5 hat i - hat j + 2 hat k which has magnitude 8 units.

Find a vector in the direction of the vector 5 hat i + hat j - 2 hatk which has magnitude 6 units.

Find a unit vector in the direction of the vector vec a = 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 .

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

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

Find the direction cosines of the vector hat i + 2 hat j + 2 hat k .

Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in the direction perpendicular to the direction of vector vec a= hat i+ hat j+ hat ki s hat i- hat jdot Statement 2: A component of vector in the direction of vec a= hat i+ hat j+ hat k is 2 hat i+2 hat j+2 hat kdot

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