Precalc Vectors

Given that u = 〈11, 7〉 and v = 〈9, -8〉, 
find 2u - 5v

• 〈-23, 54〉

• 〈67, -26〉

• 〈23, -54〉

• 〈26, -67〉

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

• Direction 75.0°
  Magnitude 221.8mph

• Direction 41.9°
  Magnitude 233.3mph

• Direction 48.1°
  Magnitude 233.3mph

• Direction 57.2°
  Magnitude 238.6mph

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

• m: 9 mph d:52.7⁰

• m: 86.5 mph d:9.6⁰

• m: 86.5 mph d:80.4⁰

• m: 9 mph d:189.6⁰

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉

• 〈-6,3〉

• 〈10,11〉

• 〈-6,-3〉

• m: 10.1 mph d:52.7⁰

• m: 86.5 mph d:169.3⁰

• m: 86.5 mph d:10.6⁰

• m: 86.5 mph d:349.3⁰

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude

• scope, sequence

• meat, potatoes

• scalar, vector

• m: 10 mph d:53.1⁰

• m: 14 mph d:53.1⁰

• m: 10 mph d:36.9⁰

• m: 14 mph d:36.9⁰

• m: 5.8 mph d:52.7⁰

• m: 8.1 mph d:52.7⁰

• m: 8.1 mph d:37.3⁰

• m: 5.8 mph d:37.3⁰