À = 2·î- 3-j =(2,-3) B = -4-î+5· = (-4,5) 1) Vectors a) Given the vectors above find the vector C = A-B and express it in either one of the two ways shown above (either using the unit vectors or as an ordered pair of coordinates in brackets separated by a comma). b) Find the magnitude C of the vector you found in part a).
À = 2·î- 3-j =(2,-3) B = -4-î+5· = (-4,5) 1) Vectors a) Given the vectors above find the vector C = A-B and express it in either one of the two ways shown above (either using the unit vectors or as an ordered pair of coordinates in brackets separated by a comma). b) Find the magnitude C of the vector you found in part a).
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Please answers parts A and B. Please show all work and highlight your answer. Thank you in advanced!
![## Physics Equations and Vector Operations
### Kinematic Equations
1. Final velocity:
\[
v_{fy} = v_{iy} + a_y \cdot t
\]
2. Final position:
\[
y_f = y_i + v_{iy} \cdot t + \frac{1}{2}a_y \cdot t^2
\]
3. Change in position:
\[
\Delta y \equiv y_f - y_i
\]
4. Velocity squared:
\[
v_{fy}^2 = v_{iy}^2 + 2a_y \cdot (y_f - y_i)
\]
5. Average velocity relation:
\[
y_f - y_i = \frac{1}{2}(v_{iy} + v_{fy}) \cdot t
\]
### 1) Vectors
**Vector Definitions:**
\[
\vec{A} = 2 \cdot \hat{i} - 3 \cdot \hat{j} = (2, -3)
\]
\[
\vec{B} = -4 \cdot \hat{i} + 5 \cdot \hat{j} = (-4, 5)
\]
**Questions:**
a) Given the vectors above, find the vector \(\vec{C} = \vec{A} - \vec{B}\) and express it in either one of the two ways shown above (either using the unit vectors or as an ordered pair of coordinates in brackets separated by a comma).
b) Find the magnitude \(C\) of the vector you found in part a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2Fb1fbbcbb-3b36-4c2a-800a-b22c649fb691%2Fspeivch_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Physics Equations and Vector Operations
### Kinematic Equations
1. Final velocity:
\[
v_{fy} = v_{iy} + a_y \cdot t
\]
2. Final position:
\[
y_f = y_i + v_{iy} \cdot t + \frac{1}{2}a_y \cdot t^2
\]
3. Change in position:
\[
\Delta y \equiv y_f - y_i
\]
4. Velocity squared:
\[
v_{fy}^2 = v_{iy}^2 + 2a_y \cdot (y_f - y_i)
\]
5. Average velocity relation:
\[
y_f - y_i = \frac{1}{2}(v_{iy} + v_{fy}) \cdot t
\]
### 1) Vectors
**Vector Definitions:**
\[
\vec{A} = 2 \cdot \hat{i} - 3 \cdot \hat{j} = (2, -3)
\]
\[
\vec{B} = -4 \cdot \hat{i} + 5 \cdot \hat{j} = (-4, 5)
\]
**Questions:**
a) Given the vectors above, find the vector \(\vec{C} = \vec{A} - \vec{B}\) and express it in either one of the two ways shown above (either using the unit vectors or as an ordered pair of coordinates in brackets separated by a comma).
b) Find the magnitude \(C\) of the vector you found in part a).
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