Confused on Vector Math: Find Resultant Vector

In summary, the conversation is about a problem involving adding two vectors and finding the resulting vector with specific components. The equation x^2 + y^2 = r^2 is mentioned, and the person is struggling with finding the correct value for the y component. They also mention trying different values and setting up an equation to solve for By.
  • #1
AryRezvani
67
0

Homework Statement



11l1rag.jpg


Homework Equations



x^2 + y^2 = r^2

The Attempt at a Solution



I understand everything, but the last segment.

What vector B when added to vector A, gives a resultant vector with no x component and a negative y component 3.34 units in length?

So 3.34 = Sqr Root [(0^2) + (y^2)]

You get 3.34 again, and because it states the y component should be negative, I plugged in -3.34, but alas, it's wrong. -.-

Ignore the 2.12 that I plugged in on the screenshot, I was just trying different ways of working this out.
 
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  • #2
They want the j component of A + B to equal -3.34. Do your values for the j components add to -3.34? (Set up a simple equation and solve for By.)
 
  • #3
Doc Al said:
They want the j component of A + B to equal -3.34. Do your values for the j components add to -3.34? (Set up a simple equation and solve for By.)

Thanks.
 

FAQ: Confused on Vector Math: Find Resultant Vector

What is a vector?

A vector is a mathematical representation of a quantity that has both magnitude and direction.

How do you find the resultant vector?

To find the resultant vector, you must add or subtract the individual components of the given vectors, taking into account their direction. The magnitude of the resultant vector is found using the Pythagorean theorem.

What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Examples of scalars include temperature and speed, while examples of vectors include velocity and force.

Can vectors be multiplied?

Yes, vectors can be multiplied using the dot product or cross product. The result of the dot product is a scalar, while the result of the cross product is a vector.

Why is vector math important?

Vector math is important in many fields, including physics, engineering, and computer graphics. It allows us to accurately represent and manipulate quantities that have both magnitude and direction, making it a powerful tool for solving real-world problems.

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