High School Pre-Cal

Question

A boat is trying to come into Harbor against a current that is going out to sea. the boat's velocity in Still water is given by the Vector [-5 , -1], and the current velocity is a given by the vector [3 ,2]. what is the magnitude of the boat's velocity on its way into the harbor

 

A. -2

B. 1

C. -√3

D. √5

Answer 1

PROBLEM

 

High School Pre-Cal
A boat is trying to come into Harbor against a current that is going out to sea. the boat's velocity in Still water is given by the Vector [-5 , -1], and the current velocity is a given by the vector [3 ,2]. what is the magnitude of the boat's velocity on its way into the harbor

A. -2
B. 1
C. -√3
D. √5

 

SOLUTION

 

Combining the components of the vectors:

 

<-5,-1>, <3,2>

 

-5i - j + 3i + 2j = -2i + j

 

v = √[(-2)² + (1)²]

 

v = √[4 + 1]

 

v = √5