Cracking the SAT Physics Subject Test

(Marvins-Underground-K-12) #1

Here’s How to Crack It


Place the tail of B at the tip of A and connect them:


Scalar Multiplication of Vectors


A vector can be multiplied by a scalar (that is, by a regular number), which results
in a vector. Scalars scale a vector in the sense that they alter the magnitude but not
the direction. If the original vector is A and the scalar is 4, then the scalar multiple
is 4A. Simply put, it has a magnitude that is four times greater than the original
vector. The vector −4A would also be four times greater than A, but would point in
the opposite direction.


magnitude of kA = |k|× (magnitude of A)


  1. Sketch the scalar multiples 2A, A, −A, and −3A of the vector
    A.

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