Use the dot product to determine whether v and w are

Question

1. Use the dot product to determine whether v and w are orthogonal.

1. v=3i , w= -4i

2. v=5i , w= -6i

3. v=3i , w= -4j

4. v=5i , w= -6j

2. Find proj_wv. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w.

1. v=3i - 2j , w= i - j

2. v=3i - 2j , w=2i + j.