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Answer:
- a = -11
- b = 13
- c = 17
- θ = 93°
Step-by-step explanation:
║u║ = √((-2)²+3²) = √13
║w║ = √(4²+(-1)²) = √17
u·v = (-2)(4) +(3)(-1) = -8-3 = -11
Then the formula for cos θ gets filled in as ...
[tex]\cos\theta=\dfrac{-11}{\sqrt{13}\cdot\sqrt{17}}\\\\\theta=\arccos{\left(-\sqrt{\dfrac{121}{221}}\right)}\approx\boxed{93^{\circ}}[/tex]
