Dot Product

Practice Questions

Calculus 3 › Dot Product

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Given the following two vectors, $\overrightarrow{a}=3\widehat{i}-1\widehat{j}+4\widehat{k}$ and $\overrightarrow{b}=2\widehat{i}+6\widehat{j}-2\widehat{k}$ , calculate the dot product between them, $\overrightarrow{a}\cdot\overrightarrow{b}$ .

Find the dot product of the vectors $\left \langle 3,-5,7\right \rangle$ and $\left \langle -6,-7,-4\right \rangle$

Find the dot product between the vectors $\left \langle 2,y,7\right \rangle$ and $\left \langle 3,4,-1\right \rangle$

Given the following two vectors, $\overrightarrow{a}=7\widehat{i}-2\widehat{j}$ and $\overrightarrow{b}=1\widehat{i}+3\widehat{j}$ , calculate the dot product between them, $\overrightarrow{a}\cdot\overrightarrow{b}$ .

Given the following two vectors, $\overrightarrow{a}=1\widehat{i}+11\widehat{j}$ and $\overrightarrow{b}=15\widehat{i}-2\widehat{j}$ , calculate the dot product between them, $\overrightarrow{a}\cdot\overrightarrow{b}$ .