Precalc Vectors

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

• Horizontal -403.6
   Vertical 123.4

• Horizontal 123.4
  Vertical -403.6

• Horizontal 123.4
  Vertical 403.6

• Horizontal -123.4 
  Vertical -403.6

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3

• Direction 68.7°
  Magnitude 19.3

• Direction 21.3°
  Magnitude 373

• Direction 68.7°
  Magnitude 373

Find the direction and magnitude of the resultant vector for the drawing of two forces.

• Direction 90°
  Magnitude 139.0N

• Direction 52.3°
  Magnitude 195N

• Direction 52.3°
  Magnitude 139.0N

• Direction 37.7°
  Magnitude 139.0N

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

• <21, 2>

• <-19, -13>

• <-15, 3>

• 23

How do you know if two vectors are orthogonal?

• Their sum is 0.

• The dot product is 1.

• The angle between them is 0°.

• The dot product is 0.

If w = <2, -5> and y = <2, 0>, find 2w + y

• <-10, 2>

• <4, -5>

• <-6, 10>

• <6, -10>

If the dot product of two vectors are equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are orthogonal.

• They are neither.

The _______ of two or more vectors is the sum of the vectors.

• components

• scalar

• resultant

• magnitude

Perform the operation if possible.

• A

• B

• C

• D

Perform the operation if possible.

• A

• B

• C

• D