How do I find a vector that is orthogonal to two other vectors?

Let a = (-4, -8, -4) and b = (-3, -2, 0) be vectors. Find the scalar, vector, and orthogonal projections of b onto a. How do I find the orthogonal component?





Also:


Webwork 3 problem 2:


Find a vector orthogonal to both %26lt;3, 5, 0%26gt; to %26lt;0, 5, -2%26gt; of the form %26lt;1, _, _%26gt;|||Use the dot product,





Use the cross product.