Vector Algebra

Question

Vector Algebra

let A vector=6ihat+3jhat, B vector= -3ihat-6jhat
D vector=A vector-B vector
what is D vector?

Thank You!

Answer 1

You subtract like directed vectors.

D= i (6+3) + j (4+6)

Answer 2

To find the vector D, we subtract the components of vector B from vector A.

Given:
A vector = 6î + 3ĵ
B vector = -3î - 6ĵ

To find D vector, we subtract the corresponding components:

D vector = (6î + 3ĵ) - (-3î - 6ĵ)

We distribute the negative sign inside the parentheses:

D vector = 6î + 3ĵ + 3î + 6ĵ

Combining the like terms:

D vector = (6î + 3î) + (3ĵ + 6ĵ)

Simplifying further:

D vector = 9î + 9ĵ

So, D vector is 9î + 9ĵ.