Vectors Unit Study Guide

Find the magnitude of this vector

Find the magnitude of the given vector

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〉

Find the direction angle of this vector. Round to the nearest hundredths place (2 numbers past the decimal)

Mathematical Equivalence

ON

Find the direction angle of this vector. (put it into component form first)

• 206.57

• 26.57

• 333.43

• 153.43

• 62.82

Using the vectors provided, if we were to solve for (4m - 7n);

What would the new "a" term be? ​ ​ (a)  

What would the new "b" term be? ​ (b)  

• -44
• -46
• 40
• 42
• -36
• -32
• -65
• -66
• -23
• -22

Find the unit vector in the direction of v = <-3,3>.

• <-3,3>

• <-3/18, 3/18>

Find the unit vector in the direction of v = <5,12>.

• <5,12>

what is the midpoint between points (1,2,5) and (3,4,7)?

• (3,7,9)

• (2,4,6)

• (2,3,6)

• (1,2,3)

• (3, 2, 6)