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3 years ago

Does anyone know how to solve this?

Mathematics

1 answer:

MrRissso [65]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

tan(α) = -2/3

tan(β) = 4/7

tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

= (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

arctan(2) ≈ 63.43°

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