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Question

Refer to vectors $\vec{a}$ and $\vec{b}$ in the figure mentioned.

On another copy of the figure, draw $-\vec{b}$, the opposite of vector $\vec{b}$, as a position vector (starting at the origin). Then translate $-\vec{b}$ so that its tail is at the head of $\vec{a}$. Using the definition of vector addition, draw vector $\vec{a}+(-\vec{b})$. Explain why $\vec{a}-\vec{b}$ is equivalent to $\vec{a}+(-\vec{b})$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

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1 of 4We will first draw the opposite vector $(-\vec{b})$ and than we will translate it. After that we will draw a vector $\vec{a}+(-\vec{b})$. Finally, we will give an explanation of why it is $\vec{a}-\vec{b}=\vec{a}+(-\vec{b})$.

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