The correct formula can be used to find the magnitude of the other initial vector is
<h3>
What is vector?</h3>
- In mathematics and physics, the term "vector" is used informally to describe certain quantities that cannot be described by a single number or by a set of vector space elements.
- In the past, vectors were first used to represent quantities with both a magnitude and a direction, such as displacements, forces, and velocity, in geometry and physics (usually in mechanics). Similar to how distances, masses, and time are represented by real numbers, these quantities are represented by geometric vectors.
- In some circumstances, tuples—finite sequences of numbers with a definite length—are sometimes referred to as vectors.
The two vectors are given as A and B.
As per the question, the two vectors intersect each other perpendicularly
Hence, the angle between them is
The magnitude of the resultant is given as R.
From the parallelogram law of vector addition, the resultant R is calculated as
To learn more about vector with the given link
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Question:
Suppose two initial vectors intersect at a right angle and form a resultant vector. The magnitudes of one initial vector, A, and the resultant vector, R, are given. Which formula can be used to find the magnitude of the other initial vector, B?
Answer:
Explanation:
The acceleration experimented while taking a curve is the centripetal acceleration . Since , we have that:
They take the same curve, so we have:
Which means:
And finally we obtain:
You have
1
s
, and oftentimes with wavelength, you want to convert to
nm
which is UV-Vis range (
200~700 nm
), and is often of spectral interest.
What you want to do is:
1
s
→
1
m
→
m
→
nm
Conversion factors are extremely useful, and one easy one to remember is the speed of light, which is about
3
×
10
8
m/s
.
1
1
s
⋅
s
m
=
m
And finally, we can convert to
nm
:
10
9
nm
=
1 m
→
conversion factor:
10
9
nm
1 m
m
⋅
10
9
nm
1
m
Thus, overall, you just have:
nm
=
1
1
s
⋅
s
3
×
10
8
m
⋅
10
9
nm
1
m
=
1
1
/
s
⋅
3
×
10
8
m
/
s
×
10
9
nm
1
m