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Find the indicated quantity, given u = (0, -7), v = (5, -8).Step 4 of 4 : Find (u • v)4v.

Find The Indicated Quantity Given U 0 7 V 5 8Step 4 Of 4 Find U V4v class=

Sagot :

Recall that:

[tex]\begin{gathered} \cdot=xv+yw, \\ a=. \end{gathered}[/tex]

Then:

[tex]\begin{gathered} u\cdot v=0*5+(-7_)*(-8)=0+56 \\ =56. \end{gathered}[/tex]

Then:

[tex](u\cdot v)4v=56*4<5,-8>.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} 56*4<5,-8>=224<5,-8>=<224*5,224*(-8)> \\ =<1120,-1792>. \end{gathered}[/tex]

Answer:

[tex]\begin{equation*} <1120,-1792>. \end{equation*}[/tex]