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How do you find a nonzero vector perpendicular to the vector represented by the point x 7 y -3?
Wiki User
∙ 15y ago
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Irma Kerluke
Wiki User
∙ 15y agoThe way I would do it is find a vector whose "Dot product" with the given vector is zero. Given vector ; R = 7i - 3j Unknown vector ; F = ai + bj Dot product = 0 = F(dot)R = 7a -3b; this means b = (7/3)a , for any value of a , so F = ai + (7/3)aj and you can use any value for "a". Picking values for "a" will not change the direction of F, just its magnitude. You can show this by finding the tangent of the angle F makes with horizontal; Tan(A) = Fy/Fx = b/a = (7/3)a/a, = 7/3, constant, independent of "a" .
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