Vectors and Vector Operations

Practice Questions

Calculus 3 › Vectors and Vector Operations

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Find the angle between the vectors and if $a=\left \langle 0,1,2\right \rangle$ and $b=\left \langle 1,0,1\right \rangle$ . Hint: Do the dot product between the vectors to start.

Find the angle between the vectors $a=\left \langle 3,0,2\right \rangle$ and $b=\left \langle 1,2,4\right \rangle$ , given that $a\cdot b=11$ .

Find the angle between the two vectors

Determine the cross product $\overrightarrow{a}\times\overrightarrow{b}$ , if $\overrightarrow{a}=2\widehat{i}+4\widehat{k}$ and $\overrightarrow{b}=\widehat{i}+3\widehat{j}-2\widehat{k}$