Matching Parallel and Perpendicular Vectors Search WORKSHEET
(+) Multiply a vector by a scalar. a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy). b. Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0
Matching Parallel and Perpendicular Vectors Search WORKSHEET DESCRIPTION
This activity is designed to get learners recognizing parallel and perpendicular column vectors. Learners need to circle pairs of parallel vectors in black and perpendicular vectors in blue. There are six pairs of each to find. Learners should consider multiples and what makes two vectors perpendicular.
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Frequently Asked Questions
Remember that parallel vectors are scalar multiples of each other, so look for vectors where one is simply a scaled version of another. For example, if you see vectors like (2, 4) and (1, 2), the first is exactly double the second, making them parallel. Since you need to find six pairs total, systematically check each vector against others to see if one can be obtained by multiplying the other by any number.