The sets of vectors are orthogonal and will be c-d,g-h, and v-w.
What exactly is a vector?
A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Fo the orthogonal vector their dot product is equal to zero.
The dot product for the set are as follows;
a.b)〈–1, 0〉〈1, 0〉 = -1
c.d)〈1, 0〉 〈0, –1〉=0
e.f) 〈–4, –6〉 〈12, 8〉=-96
g.h)〈4, –6〉〈12, 8〉=0
v.w) 〈10, –5〉〈–10, –20〉=0
x.y)〈10, –5〉 〈–10, –2〉=-90
The sets of vectors are orthogonal are;
c-d ,g-h,v-w
Sets B, D, and E of vectors are orthogonal.
Hence the sets of vectors are orthogonal and will be c-d,g-h, and v-w.
To learn more about vectors, see
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