Given the vectors below, find the dot product. $$ \begin{array}{l}\mathbf{u}=[4,3,-6,9] \ \mathbf{v}=[1,-3,0,-9] \ \mathbf{u} \cdot \mathbf{v}= ext { Ex: } 5\end{array} $$

Question

Given the vectors below, find the dot product. $$ \begin{array}{l}\mathbf{u}=[4,3,-6,9] \ \mathbf{v}=[1,-3,0,-9] \ \mathbf{u} \cdot \mathbf{v}=	ext { Ex: } 5\end{array} $$

UpStudy AI · Accepted Answer

To find the dot product of two vectors, multiply each corresponding pair of components and then add the results together. For the vectors
 u = [4, 3, -6, 9] and v = [1, -3, 0, -9],
we compute:

1. 4 × 1 = 4
 2. 3 × (-3) = -9
 3. (-6) × 0 = 0
 4. 9 × (-9) = -81

Now, add these products together:
 4 + (-9) + 0 + (-81) = 4 - 9 - 81 = -86

Thus, the dot product u · v = -86.
The dot product of vectors u and v is -86.

Given the vectors below, find the dot product. \( \begin{array}{l}\mathbf{u}=[4,3,-6,9] \\ \mathbf{v}=[1,-3,0,-9] \\ \mathbf{u} \cdot \mathbf{v}=\text { Ex: } 5\end{array} \)

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions