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anonymous
 one year ago
Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <6, 2>, v = <8, 24>
anonymous
 one year ago
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, 2>, v = <8, 24>

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2the vectors are orthogonal if the result is 0 after using the dot product. \[u \cdot v =<u_1v_1,u_2v_2,...u_nv_n> \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If vectors are parallel, then there exists a scalar \(c\) such that\[ \mathbf u = c \mathbf v \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[u \cdot v = <u_1v_1+u_2v_2+...u_nv_n>\] for dot product but if it's neither than the dot product can't be 0 and a scalar c doesn't exist.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do i just plug in the numbers to solve?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2you could.. since we have \[u=<u_1,u_2>, v=<v_1,v_2>\] and we can use dot product \[u \cdot v = <u_1v_1+u_2v_2+...u_nv_n> \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2u= <6,2> and v = <8,24> \[u_1=6,u_2=2,v_1=8,v_2=24 \] now we plug those values into the dot product formula \[u \cdot v = u_1v_1+u_2v_2\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[u \cdot v = (6)(8)+(2)(24) \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2so what is 6 x 8 and what is 2 x 24 ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2mhm \[u \cdot v = 4848 \] so now what's 4848?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.00. so is it neither?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2no.. since our dot product is 0, our vectors are _______________

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0orthogonal since it equal 0
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