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2.4 Exercise 7

Avg difficulty 2.5

What is wrong with the following expressions? How can you correct them? (a) C=A→B→C = \overset{\rightarrow}{A} \overset{\rightarrow}{B}, (b) C→=A→B→\overset{\rightarrow}{C} = \overset{\rightarrow}{A} \overset{\rightarrow}{B}, (c) C=A→×B→C = \overset{\rightarrow}{A} \times \overset{\rightarrow}{B}, (d) C=AB→C = A \overset{\rightarrow}{B}, (e) C+2A→=BC + 2 \overset{\rightarrow}{A} = B, (f) C→=A×B→\overset{\rightarrow}{C} = A \times \overset{\rightarrow}{B}, (g) A→·B→=A→×B→\overset{\rightarrow}{A} \cdot \overset{\rightarrow}{B} = \overset{\rightarrow}{A} \times \overset{\rightarrow}{B}, (h) C→=2A→·B→\overset{\rightarrow}{C} = 2 \overset{\rightarrow}{A} \cdot \overset{\rightarrow}{B}, (i) C=A→/B→C = \overset{\rightarrow}{A} / \overset{\rightarrow}{B}, and (j) C=A→/BC = \overset{\rightarrow}{A} / B.

OpenStax University Physics Volume 1, 2.4 Products of Vectors, exercise 7

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.