Given vectors a (-4; 12) and b (x; -6) find the value of x at which these vectors will be perpendicular.
| September 11, 2021 | education
The perpendicularity of the vectors means that the angle between them is 90 °, hence their dot product is 0. Using the definition of the dot product, we get the equation:
-4 * x + 12 * (-6) = 0;
-4x – 72 = 0;
x = 72 / (-4) = -18.
Answer: the required value of x is -18.
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