40 likes | 120 Views
What’s Your Vector, Victor. Section 10.4, 10.5 In a Nutshell By Fr Chris. z =4 i -1 j. <4,-1>. v =5 i +5 j. <5,5>. w =9 i +4 j. <5+4,4-1>=<9,3>. New School: v + z= w. Magnitude of w=9i+4 j:. When are vectors orthogonal (perpendicular)?.
E N D
What’s Your Vector, Victor Section 10.4, 10.5 In a Nutshell By Fr Chris
z=4i-1j <4,-1> v=5i+5j <5,5> w=9i+4j <5+4,4-1>=<9,3> New School: v + z=w Magnitude of w=9i+4j:
When are vectors orthogonal (perpendicular)? When the angle is 90° , and the cos(90°)=0, right? v and w are orthogonal when v•w=0 v= 3i+4j, w= 8i-6j. Orthogonal?? YES!
10.5 # 21. Current goes 3 kph East. Boat goes 20 kph. What angle should you steer to go North? 3i+20j 20j 3i The magnitude of 3i+20j= Time=Distance/Rate