Question

Vector u has initial point at (3, 9) and terminal point at (-7, 5). Vector v has initial point at (1, -4) and terminal point

at (6, -1).
What is u + v in component form?
A. (-10, -4)
B. (-5, -1)
C. (3, 9)
D. (5, 3)
Key words: trigonometry, vector addition and subtraction, plane, initial, terminal, component

Answer 1

To find the sum of two vectors in component form, add the corresponding components of the vectors. In this case, the sum of vectors u and v is B) (-5, -1).

Step-by-step explanation:

To find the sum of two vectors in component form, we add the corresponding components of the vectors. In this case, the x-component of vector u is -10 (final x-coordinate minus initial x-coordinate) and the x-component of vector v is 5.

The y-component of vector u is -4 (final y-coordinate minus initial y-coordinate) and the y-component of vector v is 3. Adding the x-components, we get -10 + 5 = -5. Adding the y-components, we get -4 + 3 = -1. Therefore, the sum of vectors u and v in component form is (-5, -1).