At what value of x the vectors a {x; -12} and b {5,8} are perpendicular.

univerkov | March 8, 2021 | education

1) Calculate the scalar product of vectors a and b. We have: a * b = x * 5 + (-12) * 8 = 5x – 96.
2) Vectors a and b will be perpendicular if their dot product is equal to zero. Let’s solve the equation and find at what x this happens: 5x – 96 = 0, whence x = 96/5 = 19.2.
ANSWER: 19.2.

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