q8 Find projb a a 13i 13j b 5i 12jSolutionHere a 13 i

q8

Find proj_b a. a = -13i + 13j, b = -5i + 12j

Solution

Here ,

a = -13 i + 13 j

b = - 5 i + 12 j

for projb a = a.b/|a|

projb a = (- 5 i + 12 j).(-13 i + 13 j )/|(-13 i + 13 j )|

projb a = (65 + 12 * 13)/sqrt(13^2 + 13^2)

projb a = 12.02

the projb a is 12.02