Vectors and Their Components Answers

Which description of the vector shown is correct?The magnitude is 15, and the direction angle is approximately 49°.The magnitude is 15, and the direction angle is approximately 41°.The magnitude is , and the direction angle is approximately 49°.The magnitude is , and the direction angle is approximately 41°.

Which description of the vector shown is correct?The magnitude is , and the direction angle is approximately 315°.The magnitude is , and the direction angle is approximately 135°. The magnitude is , and the direction angle is approximately 315°. The magnitude is , and the direction angle is approximately 135°.

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The y-coordinate of the vector to the nearest tenth is [___].

Given points A(9, 3), B(–3, 6), and C(–7, –3). Which statements describe the vectors that include these points? Check all that apply.The magnitude of .The magnitude of .The magnitude of .

Let v = ⟨-5, 12⟩. What is the approximate direction angle of v?23°67°113°157°

✔ shorter thanlonger thanthe same length as

A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.⟨-10, 18⟩; 412 ya

To find the vector representing the high school setting, multiply the vector representing the middle school setting by a scalar that is [___].

For middle school practice, a pitching machine is set to throw a baseball 50 miles per hour at 25° north of east. For high school, the only setting change for the machine is to have it throw at 75 miles per hour. Complete the statements about the vectors that represent the different settings on the machine.

Given points A(9, 3), B(–3, 6), and C(–7, –3). Which statements describe the vectors that include these points? Check all that apply.The magnitude of .The magnitude of .The magnitude of .

Let u = ⟨-12,-24⟩. Which graph shows the resulting vector of multiplying u by ?

The direction angle to the nearest whole number is [___]°.

I✔ IIIIIIV

Compared to the vector for the middle school setting, the vector representing the high school speed is [___].

5062118 ✔ 130

I✔ IIIIIIV

✔ longer and in the same directionLonger and in the opposite directionShorter and in the same directionShorter and in the opposite direction