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3 years ago

u and v are position vectors with terminal points at (-1, 5) and (2, 7), respectively. Find the terminal point of -2u + v.

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

<h3>Answer: (4, -3)</h3>

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Work Shown

We'll be using these vector properties

Rule 1: (a,b) + (c,d) = (a+c, b+d)
Rule 2: k*(a,b) = (k*a, k*b)

To get the following

-2u + v = -2*(-1, 5) + (2,7)

-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2

-2u + v = (2, -10) + (2, 7)

-2u + v = (2+2, -10+7) .... use rule 1

-2u + v = (4, -3)

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A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degre

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Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

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In the triangle ABC,

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3 years ago