At what value of x are the vectors a {4; 6}, and b {x; -6} are perpendicular

Find the dot product of vectors a * b.

a * b = 4 * x + 6 * (- 6).

Vectors are perpendicular if their dot product is 0.

4x – 36 = 0;

4x = 36;

x = 36: 4;

x = 9.

Answer: for x = 9 vectors a (4; 6) and b (9; – 6) are perpendicular.



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