Vectors and Their Components — Quiz Answers

A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at open paren 0 comma 0 close paren , and the park at open paren 16 comma 11 close paren Using 1 unit is equal to 10 yards , which vector represents the path from the house to the park, and what is the actual distance between them?

Air traffic controllers are watching two planes on radar to ensure there is enough distance between them. Plane A took off at 10:00 a.m., and plane B took off at the same runway 5 minutes later. Both planes are flying at the same direction angle and the same path. At 10:10 a.m., the airport’s radar system detected plane A at open paren 24 comma 18 close paren and plane B at open paren 8 comma 6 close paren The scale on the radar is 1 unit is equal to 25 miles Which vector represents the path from plane A to plane B, and what is the actual distance between them?

Let v be a vector with initial point open paren negative 5 comma negative 11 close paren and terminal point open paren 6 comma 2 close paren What is magnitude v ?

Let vector v with components three comma negative two What is the approximate direction angle of v ?

Let vector v with components negative ten comma fifteen What is the approximate direction angle of 1 half v ?

A vector in standard position has its terminal point at open paren negative 10 comma negative 4 close paren What is the approximate direction angle of the vector?

A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components 3 comma 7 Around 6 a.m. on the same path, the hurricane is (1)/(10) the total distance from where it was detected initially to where it will make landfall. If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.?

Consider the points cap q times open paren 23 comma 48 close paren and cap r times open paren 7 comma 62 close paren What is the component form of vector Q R ?

Let u is equal to over right arrow XY where cap x times open paren negative 4 comma 6 close paren and cap y times open paren 8 comma 3 close paren What is magnitude of 2 u ?

Let p=FG→ where cap f of open paren 0 comma 5 close paren and cap g of open paren negative 4 comma negative 3 close paren What is the direction angle of negative 3 halves bold math font p ?