Answer:
The indicated dot product of v.w is 31.
Step-by-step explanation:
Given : r = <9, -7, -8>, v = <3, 4, 7>, w = <6, -9, 7>
To find : The indicated dot product v.w?
Solution :
The dot product in [tex]R^3[/tex] is
If [tex]v=ai+bj+ck[/tex] and [tex]u=di+ej+fk[/tex]
Then, [tex]v.w=ad+be+cf[/tex]
We have given,
v = <3, 4, 7>, w = <6, -9, 7>
where, a=3 ,b=4, c=7 and d=6, e=-9, f=7
So, [tex]v.w=ad+be+cf[/tex]
[tex]v.w=3(6)+4(-9)+7(7)[/tex]
[tex]v.w=18-36+49[/tex]
[tex]v.w=31[/tex]
Therefore, The indicated dot product of v.w is 31.
