Vectors Review

Find the magnitude of the vector <-4, -6>.

Mathematical Equivalence

ON

Find the direction of vector <6,5>. (a)  

• 219⁰
• 39⁰
• 129⁰
• 309⁰

the magnitude (or length) of u. If necessary, leave as a square root. (a)  

• √63
• 3
• √65
• 9

|u|, the magnitude of u. Round to three decimal places, if necessary.

• 13
• 8.944
• 8
• 14.422

|v|, the magnitude of v. Round to three decimals, if necessary.

• 8
• 13
• 14.422
• 8.944

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

• 〈14,-13〉

• 〈-14,13〉

• 〈-40,-21〉

• 〈40,-21〉

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〉

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Given u = <3, 7>, find 2u

• <21, 2>

• <6, 26>

• <6, 14>

• 23

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18