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Representation of Point on the Plane

Suppose P is ...

Question

Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX || and suppose Q₁ has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?

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Solution

We have and.

Thus, the coordinates of P will be .

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Similar questions

A point P has coordinates (7, 10) in a coordinate system X′OX ↔ Y′OY. Suppose it has coordinates (10, 7) in another coordinate system with. Find the coordinates of Q₁ in the system X′OX ↔ Y′OY.

Suppose P has coordinates (10, 2) in a coordinate system X′OX − Y′OY and (−3, −6) in another coordinate system with. Determine the coordinates of O with respect to the system .

P

is a point with coordinates

(- 8, 3)

with respect to a coordinate system

X^{'} O X \leftrightarrow Y^{'} O Y

X_{1}^{^{'}} O_{1} X_{1} \leftrightarrow Y_{1}^{^{'}} O_{1} Y_{1}

be another system with

X^{'} O X ∥ X_{1}^{^{'}} O_{1} X_{1}

O_{1}

has coordinates

(9, 5)

with respect to

X^{'} O X \leftrightarrow Y^{'} O Y

. What are the coordinates of

P

X_{1}^{'} O_{1} X_{1} \leftrightarrow Y_{1}^{'} O_{1} Y_{1}

Choose the correct option:

If a point P has coordinates (3, 4) in a coordinate system, and if O has coordinates (4, 3) in another systemwith X′OX ||, then the coordinates of P in the new system is _____________.

A. (3, 4)

B. (1, −1)

C. (7, 7)

D. (−1, 1)

P

has coordinates

(3, 4)

in a coordinate system

X^{'} O X \leftrightarrow Y^{'} O Y

O

has coordinates

(4, 3)

in another system

X_{1}^{'} O_{1} X_{1} \leftrightarrow Y_{1}^{'} O_{1} Y_{1}

X^{'} O X ∥ X_{1}^{'} O_{1} X_{1}

, then the coordinates of

P

in the new system

X_{1}^{'} O_{1} X_{1} \leftrightarrow Y_{1}^{'} O_{1} Y_{1}

is ________________

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