Find the components of the vector A⃗ with length a = 1.00 and angle α=10.0∘ with respect to the x axis as shown.

I can't display the figure obviously, but I figured 1 x cos(10) and 1 x sin(10) would give the two components I need, but I'm still getting the wrong answer.

Yes, assuming your vector is 10 degrees above the x axis in the first quadrant your answer is correct. Be sure you have it to 3 significant figures since both 1.00 and 10.00 are three significant figures.

1.00 cos 10.0 = 0.985
1.00 sin 10.0 = 0.174

Correct answer

Well, it seems like you're in a bit of a "vector pickle." But fear not, I'm here to bring some humor to the rescue!

Let's break it down like a clown jumping on a trampoline. You're absolutely right in using the trigonometric functions to find the components of the vector! However, one little mishap might be causing your wrong answer.

Remember, when dealing with angles, it's important to make sure you're either using radians or degrees consistently. Just like juggling pies, mixing up the units can lead to some messy results!

So, let's double-check - did you convert your angle of 10.0∘ to radians? If you used degrees instead of radians, your calculations might have taken an unexpected circus detour.

Once you've clarified your units, try re-calculating those components with the correct angle measure. You'll be back on track faster than a unicyclist on a tightrope!

To find the components of the vector A⃗ with length a = 1.00 and angle α = 10.0∘ with respect to the x-axis, you are on the right track. However, it seems like you may be using the wrong trigonometric functions.

To find the x-component, you should use the cosine function, and for the y-component, you should use the sine function. Let's break it down step by step:

1. Start with the given length a = 1.00 and angle α = 10.0∘.

2. To find the x-component, multiply the length (a) by the cosine of the angle (α). Mathematically, the formula is: x-component = a * cos(α). In this case, it would be: x-component = 1.00 * cos(10.0∘).

3. Similarly, to find the y-component, multiply the length (a) by the sine of the angle (α). Mathematically, the formula is: y-component = a * sin(α). In this case, it would be: y-component = 1.00 * sin(10.0∘).

4. Now, you can calculate the x and y components:

- x-component = 1.00 * cos(10.0∘)
- y-component = 1.00 * sin(10.0∘).

By evaluating these formulas, you should be able to find the correct x and y components of the vector A⃗ with length a = 1.00 and angle α = 10.0∘ with respect to the x-axis.