webwork ma205002umdw16 12 218 2 2 Problem 18 Previous Proble

webwork/ ma205-002-umd-w16/ 12 2/18 2 2: Problem 18 Previous Problem List Next 1 ye-plane. You watk 3 units fonward, tarn let,and wask another 3 unts (1 point) You are at the point (2,2, 1), standing upright and facing the point (2,2,1), standing upright and facing the y What is your fical poshion (51-21 Consider the point of view of an observer looking at the coordinate system as shown below Complete the foliowing sentence sbot yur tal ponto are behind the Q W ER T Y

Solution

1. u + v + 2w = (4,0,0) + (0,4,0) + 2(0,0,4) = (4,0,0) + (0,4,0) + (0,0,8)

= (4, 4, 8 )

2. t = v - u = ( 0,4,0) - (4,0,0) = (-4,4,0)

3. t - 2r = ?

first we have to find r.

r = ( u_x, v_y, w_z) = (4,4,4)

t - 2r = (-4,4,0) - 2(4,4,4) = (-4,4,0) - (8, 8,8) = (-12, -4, -8)

4. u + v + w + r + s + t = ?

first we have to find s.

s is in uw plane (Or xz plane)

s = (4, 0 ,4)

u + v + w + r + s + t = (4,0,0) + (0,4,0) +(0,0,4) + (4,4,4) + (4,0,4) + (-12,-4,-8)

= ( 0, 4, 4)