Analytic Geometry Answers

Find the angle between the given vectors to the nearest tenth of a degree.

u = <-5, -4>, v = <-4, -3>

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Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <6, -2>, v = <8, 24>

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Find the indicated dot product.

r = <9, -7, -8>, v = <3, 4, 7>, w = <6, -9, 7>

v ⋅ w

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Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

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Let u = <4, 3>. Find the unit vector in the direction of u, and write your answer in component form.


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Let u = <-3, -5>, v = <-3, 1>. Find u + v.

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Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of vector PQ.

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Let u = <-5, 1>, v = <7, -4>. Find 9u - 6v.


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Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.


Help me please show work please so that can make me more understand please

Let u = <-8, -9>. Find 7u.

how i'm going to find u am i going to multiply 7 by 8 or help please and show work please