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3 years ago

The vector PQ =(-3,2).Given that the point P is (1,4), find the coordinates of thepoint Q.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

Q = (- 2, 6 )

Step-by-step explanation:

PQ = q - p ← q and p are the position vectors

Add p to both sides

q = PQ + P = (- 3, 2) + (1, 4) = (- 3 + 1, 2 + 4) = (- 2, 6 ), that is

Q = (- 2, 6 )

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1 year ago

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3 years ago

Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles.

earnstyle [38]

Answer:

<em>The angle between their paths when they started is 93°.</em>

Step-by-step explanation:

<u>The Law of Cosines</u>

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Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

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When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.

Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.

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3 years ago

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Vitek1552 [10]

<h3>Answer: x = 16</h3>

============================================

Explanation:

On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.

From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x

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The vector PQ =(-3,2).Given that the point P is (1,4), find the coordinates of thepoint Q.​

The vector PQ =(-3,2).Given that the point P is (1,4), find the coordinates of thepoint Q.