Calculate the cos of the angle between vectors a {3; -4}, in {15; 8}
| May 1, 2021 | education
a (3; -4), b (15; 8).
Let y be the angle between vectors a and b.
cozy = (a * b) / (| a | * | b |).
Find the dot product and the lengths of the vectors.
a * b = 3 * 15 + (-4) * 8 = 45 – 32 = 13.
| a | = √ (3 ^ 2 + (-4) ^ 2) = √ (9 + 16) = 5.
| b | = √ (15 ^ 2 + 8 ^ 2) = √ (225 + 64) = 17.
cozy = 13 / (5 * 17) = 13/85.
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