Question

When giving directions to your house, you
tell someone to drive two miles east, then
three miles north, then one mile west.
What are the components of a vector that
points from his house to yours?

Answer 1

Answer:

Sx = 2 - 1 = 1

Sy = 3

Vector is (1 , 3)

Answer 2

The components vectors that points from this house to yours is (i + 3j) miles.

The given parameters;

• first displacement, x₁ = 2 miles east
• second displacement, x₂ = 3 miles north
• third displacement, x₃ = 1 mile west

The resultant vertical displacement is calculated as follows;

$V_y = 3 \ miles$

The resultant horizontal displacement is calculated as follows;

$V_x = 2 -1 = 1 \ mile \ east$

The components vectors that points from this house to yours is calculated as follows;

$v = (v_x + v_y)\\\\v = (i \ + \ 3j) \ miles$

Thus, the components vectors that points from this house to yours is (i + 3j) miles.

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