() 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto the

Compute the orthogonal projection of i = -5 onto the line L through 2 and the origin.

(a) For a given vector a + 0, describe the loci (the set of points 7 determined by the equations: (x, y, z)) on R³ (i) d (2—2, у+1, 2— 3) 3D 0. (ii) ||7– a|| 21. Z-. (b) A person throws a paper ball from a height of 4m from the ground. The wind is blowing and the acceleration is given by 2/3 a(t) = ( 12v3t? – 24t + (12/5P - ) -6 for t> 0. 3 7 (0), is thrown with an initial velocity of magnitude 4m/s at an angle 0 = rad with respect to the horizontal. All measurements are in SI units. me 3 rad 4 m basket

Find a vector parametrization for the line that passes through the points P(3, —7, 1) and Q(-5, 9, 2)