Finding Component Form of Vectors: c, P, and Q

[tennistudof09]

the problem says:

find and state the component form of the following vectors.
c= 3i + 4j P(0,0),Q(5,-2)

for some reason, i think i ended up doing unneccessary work. I found the Work of the problem instead, which is 7. Is work the same thing as component form? If not, what am I supposed to be looking for?

 

[Mark44]

the problem says:

find and state the component form of the following vectors.
c= 3i + 4j P(0,0),Q(5,-2)

for some reason, i think i ended up doing unneccessary work. I found the Work of the problem instead, which is 7. Is work the same thing as component form? If not, what am I supposed to be looking for?

Work? How does work enter into a problem that asks for the compenents?

If v = ai + bj, the horizontal component is a and the vertical component is b.

If v is the vector from P(a, b) to Q(c, d), v = (c - a)i + (d - b)j and its components are c -a and d - b.

 

[Architeuthis Dux]

Hello,

Thank you for sharing the problem and your solution. It seems like you may have misunderstood the task at hand. The problem is asking you to find the component form of the vectors c, P, and Q. This means that you need to express each vector in terms of its x and y components.

Let's break down the problem and see how to find the component form of each vector:

1. Vector c = 3i + 4j
The notation i and j represent the unit vectors in the x and y directions, respectively. Therefore, the x component of vector c is 3 and the y component is 4. So the component form of vector c is (3,4).

2. Vector P(0,0)
This vector is already in component form. The x and y components are both 0.

3. Vector Q(5,-2)
Similarly, this vector is also already in component form. The x component is 5 and the y component is -2.

So, the component forms of the given vectors are:
c = (3,4)
P = (0,0)
Q = (5,-2)

In summary, work and component form are not the same thing. Work is a measure of the energy transferred by a force, while component form refers to the expression of a vector in terms of its x and y components. I hope this clarifies your confusion. Keep up the good work in your studies!