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

egbeach
 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?

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

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