(i) Write the position vector of B. Also, find the distance travel by Geetika from her house to school.

Question

Read the following passage and answer the questions given below.

Geetika’s house is situated at Shalimar Bagh at point O, for going to Alok’s house she first travels 8 km by bus in the East. Here at point A, a hospital is situated. From Hospital, Geetika takes an auto and goes 6 km in the North, here at point B school is situated. From school, she travels by bus to reach Alok’s house which is at 30° East, 6 km from point B.

(i) Write the position vector of B. Also, find the distance travel by Geetika from her house to school. 

(ii) What is the vector distance from Geetika’s house to Alok’s house? 

(iii) What is the vector distance from school to Alok’s house?

OR 

(iii) What is the total distance travelled by Geetika from her house to Alok’s house? Also, find \(|\vec {OB}|.\)

Answer 1

To reach school Geetika travels = (8 + 6) km = 14 km

(ii) Vector distance from Geetika’s house to Alok’s house

(iii) Vector distance from school to Alok’s house

OR 

(iii) Total distance travelled by Geetika from her house to Alok’s house = (8 + 6 + 6) km = 20 km