Compute the dot product of:
The dot product of vectors V and W is 540.
The dot product of vectors V and W is given by:
Given values:
Substitute the given values into the above formula and solve for [tex]\large\rm{\vec{V} \cdot \vec{W}}[/tex]:
[tex]\large\begin{aligned}\rm:\implies{\vec{V} \cdot \vec{W}}&= \rm{V_{1}W_{1} + V_{2}W_{2}}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\rm{(15)(21) + (25)(9)}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\rm{315 + 225}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\bold{540}\end{aligned}[/tex]
[tex]\therefore[/tex] The dot product of vectors V and W is 540.
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DOT PRODUCT
Compute the dot product of:
Answer:
The dot product of vectors V and W is 540.
Solution and Explanation:
The dot product of vectors V and W is given by:
Given values:
Substitute the given values into the above formula and solve for [tex]\large\rm{\vec{V} \cdot \vec{W}}[/tex]:
[tex]\large\begin{aligned}\rm:\implies{\vec{V} \cdot \vec{W}}&= \rm{V_{1}W_{1} + V_{2}W_{2}}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\rm{(15)(21) + (25)(9)}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\rm{315 + 225}\\\rm:\implies{\vec{V} \cdot \vec{W}}&=\bold{540}\end{aligned}[/tex]
[tex]\therefore[/tex] The dot product of vectors V and W is 540.
Learn more about dot product here: https://brainly.ph/question/30733687