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Answer:
a)The component form is
b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:
We substitute the position vectors to get:
We subtract the corresponding components to obtain:
This gives:
This simplifies to:
The magnitude of a vector in the component form:
is
This means:
This simplifies to:
c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>