?Suppose that $a \neq 0$.(a) If $a \cdot b=a \cdot c$, does it follow that

Chapter 12, Problem 53

(choose chapter or problem)

Suppose that $a \neq 0$.

(a) If $a \cdot b=a \cdot c$, does it follow that $\mathbf{b}=\mathbf{c}$?

(b) If $\mathbf{a} \times \mathbf{b}=\mathbf{a} \times \mathbf{c}$, does it follow that $\mathbf{b}=\mathbf{c}$?

(c) If $a \cdot b=a \cdot c$ and $\mathbf{a} \times \mathbf{b}=\mathbf{a} \times \mathbf{c}$, does it follow that $\mathbf{b}=\mathbf{c}$?

Equation Transcription:

a $\ne{}$ 0

a $\bullet{}$ b = a $\bullet{}$ c

b = c

a $\times{}$ b = a $\times{}$ c

Text Transcription:

a neq 0

a times b = a times c

b = c

a times b = a times c

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?Suppose that \(a \neq 0\).(a) If \(a \cdot b=a \cdot c\), does it follow that