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Equation of a Plane Passing through a Point and Parallel to the Two Given Vectors

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Question

Read the following information carefully and answer the questions given below.
All the streets of a city are either perpendicular or parallel to one another. The streets are all straight, streets N, O, P, Q and R are parallel to one another. Streets S, T, U, V, W, X and Y are horizontally parallel to one another.
(i) Street N is 1 km east of Street O.
(ii) Street O is 1/2 km west of Street P.
(iii) Street Q is 1 km west of Street R.
(iv) Street S is 1/2 km south of Street T.
(v) Street U is 1 km north of Street V.
(vi) Street W is 1/2 km north of Street X.
(vii) Street W is 1 km south of Street Y.
If W is parallel to U and W is 1/2 km south of V and 1 km north of T, then which two streets would be 1 & 1/2 km apart?

U and W

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V and S

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V and T

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W and V

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Solution

The correct option is A U and W
If W is parallel to U and W is 1/2 km south of V and 1 km north of T, then U and W two streets would be 1 & 1/2 km apart.

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Similar questions

Question 2 (i)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (4, 3)?

Q. (Street plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city-run parallel to these roads and are

200

m apart. There are

5

streets in each direction. Using

1

= 200

m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the

2^{n d}

street running in the North-South direction and

5^{t h}

in the East-West direction meet at some crossing, then we will call this cross-street

(2, 5)

. Using this conversion, find:

(i)

How many cross-streets can be referred to as

(4, 3)

(i i)

How many cross-streets can be referred to as

(3, 4)

Question 2 (ii)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (3, 4)?

Q. A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction.

Using 1 cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convention, find:

(i) how many cross-streets can be referred to as (4,3).
(ii) how many cross-streets can be referred to as (3,4).

Q. The streets in a city are arranged like the lines of a chess-board. There are six streets running north and south, and five streets running along east-west. Find the number of ways in which a man can travel from the north-west to the south-east corner, going the shortest possible distance.

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The correct option is A U and WIf W is parallel to U and W is 1/2 km south of V and 1 km north of T, then U and W two streets would be 1 & 1/2 km apart.

The correct option is A U and W
If W is parallel to U and W is 1/2 km south of V and 1 km north of T, then U and W two streets would be 1 & 1/2 km apart.