INITIAL POINT OF A VECTOR
Definition Of Initial Point Of A Vector
When a vector is represented as a line segment, the starting point is called as the Initial Point of a Vector.
More About Initial point of a vector
The components and the magnitudes of a vector can be found out with the help of initial point of a vector..
Video Examples: how to find a terminal point or an initial point using vector
Example of Initial point of a vector
In the above figure, PQ is a vector and P the initial point of the vector.
Solved Example on Initial point of a vector
Ques: Identify the value of initial point from the given vector
Choices:
A. (3, 4)
B. (4, 5)
C. (3, 5)
D. None of these
Correct Answer: A
Solution:
Step 1: In figure, A is the initial point of a vector AB.
Step 2: The value of A is (3, 4). [Given.]
Step 3: So, the value of the initial point of a vector is (3, 4).
Quick Summary
- The initial point is where the vector begins.
- The initial point helps determine the components and magnitude of the vector.
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate the concept of initial and terminal points. Emphasize the importance of correct notation and terminology.🎓 Prerequisites
- Basic geometry
- Coordinate plane
- Line segments
Check Your Knowledge
Q1: What is the initial point of vector AB if A = (3, 4) and B = (7, 8)?
Frequently Asked Questions
Q: How do you find the initial point of a vector?
A: If given a visual representation, identify the starting point of the vector. If given coordinates, the initial point will be explicitly stated or can be derived based on the vector's components and terminal point.