Find the component form and the magnitude of the vector v for the link below.
www.webassign.net/waplots/a/d/5a65c060557499b4cf31c891c4ff6f.gif
๐=< , >
||v||=
The answer i got are:
||v||=โ 17
v=<1,1>
I agree that the magnitude = sqrt (16+1) = sqrt (17)
however the components are 4 in the x direction and -1 in the y direction, given
To find the component form and the magnitude of a vector, we need to look at the given link and analyze the vector diagram provided.
The link you provided is not accessible, so I cannot view the vector diagram to determine the component form and the magnitude of the vector v.
However, I can explain the general steps to find the component form and magnitude of a vector.
1. Component form of a vector:
The component form of a vector typically represents the vector's direction and magnitude in terms of its x, y, and z components. To find the component form, we need to determine the magnitudes of the vector in each coordinate direction.
For example, if the vector is v = <1, 2, 3>, the component form would be v = (1i + 2j + 3k), where i, j, and k represent the unit vectors in the x, y, and z directions, respectively.
2. Magnitude of a vector:
The magnitude of a vector represents its length or size. To find the magnitude of a vector, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
If we have a vector v = <a, b, c>, the magnitude (or length) of the vector is given by ||v|| = โ(a^2 + b^2 + c^2).
Without viewing the actual vector diagram, I cannot provide you with the specific values for the component form and magnitude of the vector v. Please provide a different link or describe the vector in more detail for me to assist you further.