For each pair of vectors u and v

Question

For each pair of vectors u and v with angle θ between them, sketch the resultant.

|u| = 20, |v| = 30, θ = 30°

Accepted Answer

Hey, everyone here we are asked to draw the resultant vector for the pair of vectors with angle alpha between them. Using the given information here we have the absolute value of A is equal to 17. The absolute value of B is equal to 25 and alpha is equal to 34 degrees. We have four answer choice options, answer choices A through D, each of which have some sketch containing our two vectors, the angle between them and the resultant force. So to begin this problem, we want to start by noticing that we are given the vectors A and B. And so we can start by sketching vector A by just drawing an arrow pointing slightly upwards. And we will label this vector as the given value 17. Next, we want to sketch our second vector. So we first need to notice that the angle in between A and B is 34 degrees. So we just want to draw our second arrow, the second vector as an arrow which starts at the tail of our vector A, it extends outward at a slightly upward angle. And now we want to label the angle in between our two vectors as the given angle 34 degrees. And now with our second vector, we also want to label it accordingly. And so we know vector B is 25 and we can also notice that vector B is longer than vector A because B is larger than A. Now we are ready to draw in our result in vector. So we just need to draw an arrow directly in between our two vectors so far in this arrow, since it is the result in vector, it is the longest arrow. And now we just want to connect each of the heads of each arrow by a dash line so that we finish our parallelogram. And with this final sketch here, we have finished sketching our resultant vector as well as our given information. And so we are left with answer choice D. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

For each pair of vectors u and v with angle θ between them, sketch the resultant.

|u| = 20, |v| = 30, θ = 30°

Key Concepts

Vector Addition

Magnitude of a Vector

Angle Between Vectors

Watch next