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Two vectors given below, A and B, are located in a standard 3-D cartesian coordinate system:...

Two vectors given below, A and B, are located in a standard 3-D cartesian coordinate system: A = 5i + 2j - 4k B = 2i + 5j + 5k a. Find the magnitude of the sum of A and B. b. Find the dot product of A and B. What does this result tell you about A and B? c. Find a vector C, with non-zero magnitude, that is perpendicular to both A and B.

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