Vectors

Question 1

A + B =

Answer 1

(Ax + Bx)i^ + (Ay + By)j^

or

Question 2

A - B =

Answer 2

(Ax - Bx)i^ + (Ay - By)j^

or

Question 3

||A|| =

Answer 3

Sqrt((Ax^2) + (Ay^2))

Question 4

A makes the angle ϴ with the +x-axis, and ||A|| is known, what is the vector?

Answer 4

(||A||Cos(ϴ))i^ + (||A||Sin(ϴ))j^

or

Question 5

kA =

Answer 5

(kAx)i^ + (kAy)j^

or

Question 6

A ⋅ B =

Answer 6

||A|| * ||B|| * Cos(ϴ)

or

(Ax * Bx) + (Ay * By)

Question 7

A = <a>
B =</a>

A x B =</a>

Answer 7

(bf - ce)î + (af - cd)ĵ + (ae - cd)k̂

or