Assigned Week 4 Block 11 by Dr. Rickert. Due by 5PM Tuesday, October 5.

**Problem 1**

Find the size and direction of the vector 7
**i**
+ 5
**j**
.

`> `
**with(linalg):**

`> `
**v1 := vector([7,5]):**

size (magnitude) is equal to the square root of the dotproduct of itself

`> `
**v1m := sqrt(dotprod(v1,v1));**

direction is equal to the unit vector

`> `
**evalm(v1/v1m);**

**Problem 2**

Find two vectors that are parallel to the vector 10
**i**
+ 20
**j**
.

Be sure to explain how you know that they are parallel.

`> `
**v2 := vector([10,20]):**

`> `
**evalm(v2*2);**

`> `
**evalm(v2*5);**

these vectors are parallel because the slopes are the same as the original vector, as determined by y/x

**Problem 3**

Find a vector that is perpendicular to the vector 5
**i**
+ 8
**j**
.

Be sure to explain how you know that it is perpendicular.

`> `

`> `

`> `

`> `

`> `

**Problem 4**

**Problem 5**

**Problem 6**

**Problem 7**

**Problem 8**

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