Podcast
Questions and Answers
Given vectors C = (1, -2) and D = (0, -4), what is the magnitude of vector C - D?
Given vectors C = (1, -2) and D = (0, -4), what is the magnitude of vector C - D?
If vector A + B = (3, -1) and vector A - B = (2, 1), what is the magnitude of vector A?
If vector A + B = (3, -1) and vector A - B = (2, 1), what is the magnitude of vector A?
Given vectors A = (-2, 3) and B = (2, 1), what is the magnitude of vector A - B?
Given vectors A = (-2, 3) and B = (2, 1), what is the magnitude of vector A - B?
Which of the following is a correct representation of the vector sum if A=(3,-1), B=(-2,4), and C=(1,2)?
Which of the following is a correct representation of the vector sum if A=(3,-1), B=(-2,4), and C=(1,2)?
Signup and view all the answers
Given A=(2, 3) and $\vec{A}-\vec{B}=(5, 1)$. Calculate the vector $\vec{B}$
Given A=(2, 3) and $\vec{A}-\vec{B}=(5, 1)$. Calculate the vector $\vec{B}$
Signup and view all the answers
Signup and view all the answers
Study Notes
Vector Operations and Magnitudes
-
Vector C-D Calculation:
- Vector C = (1, -2)
- Vector D = (0, -4)
- Vector C - D = (1-0, -2-(-4)) = (1, 2)
- Magnitude of C-D = √(1² + 2²) = √5
-
Vector A Magnitude Calculation:
- Vector A + B = (3, -1)
- Vector A - B = (2, 1)
- Add the two equations: 2A = (5, 0)
- Vector A = (5/2, 0)
- Magnitude of A = √((5/2)² + 0²) = 5/2 = 2.5
-
Vector A-B Magnitude Calculation:
- Vector A = (-2, 3)
- Vector B = (2, 1)
- Vector A - B = (-2-2, 3-1) = (-4, 2)
- Magnitude of A-B = √((-4)² + 2²) = √(16 + 4) = √20 = 2√5
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of vector operations and magnitudes with this quiz. You'll work through calculations involving vector addition, subtraction, and magnitude determination. Ideal for students looking to reinforce their grasp on vector mathematics.
