Hub 4 Mech
Problem SetForce Vectors Problem Set160 force vector problems with step-by-step solutions, from the parallelogram law to the dot product: 6 warm-ups, 10 workouts and 4 challenges on each topic.
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Perpendicular or Not?

ID: 7rekttnpoq

Problem: Show that \(\{2\,\mathbf{i} - \mathbf{j} + 3\,\mathbf{k}\}\) and \(\{4\,\mathbf{i} + 5\,\mathbf{j} - \mathbf{k}\}\) are perpendicular. Then find \(c\) so that \(\{\mathbf{i} + 2\,\mathbf{j} + c\,\mathbf{k}\}\) is perpendicular to \(\{3\,\mathbf{i} - \mathbf{j} + 2\,\mathbf{k}\}\).

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2 Answer Field(s)
3/3 Attempts
#1
\mathbf{A}\cdot\mathbf{B}
#2
c
Scientific notation supported (e.g. 2e4, 2e-4)

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