Hi there,

For this unit I did vectors and applications (vector addition, scalar multiplication, R3, component vectors in R3 and R2, spanning sets, vectors as velocity, vectors as forces, Dot product, cross product, etc.)

Can you please help me with the following.

1.

1. In the following diagram, state a pair of vectors that are: [2 marks] A B Equal E Opposite Parallel, But Not Equal D C Same Magnitude, But Not Parallel2. If la| = 25 cm, |b| = 10 cm, and the two vectors make an angle of 65, find the following vectors. Show all of your work. a. a - b [4 marks] b. 2a + 3b [4 marks]3. Indicate whether the following are scalars or vectors: [2 marks] a. 40 km/h b. 10 km Northwest c. Downward force of 12N d. Distance of the moon from Earth