In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.
v = 2i + 8j, w = 4i - j

If $u$ is a unit vector, and $v$ and $w$ are also unit vectors, which of the following is always true about the dot products $u\cdot v$ and $u\cdot w$?

Let $u$ be a unit vector, and let $v$ and $w$ be vectors, where $w$ is also a unit vector. Which of the following statements is true about the dot products $u\cdot v$ and $u\cdot w$?

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = i + j, w = i - j

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal. v = 2i - 2j, w = -i + j

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 3i, w = -4i

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 3i, w = -4j

In Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v = 3i - 2j, w = i - j