5 Considera el vector \( \overrightarrow{\mathrm{u}}(3,-4) \). Calcula: a) Un vector paral. lel a \( \overrightarrow{\mathrm{u}} \) de mòdul 1 . b) Un vector perpendicular a \( \overrightarrow{\mathrm{u}} \) de mòdul 2 .

Find the area of a vector of radius 10.5 cm pubtended by an angle of \( 1 / 3 \pi^{\mathrm{C}} \) at the centre ( 3 marks)

7. एक वर्ग की लंबाई और चौड़ाई में क्रमशः \( 30^{\circ} \) तथा \( 20 \% \) की वृद्धि की गई है। तदनुसार, इ प्रकार बने आयत का क्षेत्रफल, उस वर्ग क्षेत्रफल से कितना ज्यादा हो जाएगा ?

Case Study Based Question There was a deserted land near Ryan's house. The colony people used to throw garbage on that land. Ryan, along with his friends, decided to develop the land into a park with walking track with uniform width, where children can play and elders can work. On the basis of above information answer the following questions: (a) What is the width of the track? (b) Find the breadth of inner rectangle. (c) Find the area of walking track. (d) Find the cost of leveling the park including the track at the rate 210 per square m . (e) Which values Ryan has shown here?

A fish tank length, breadth and height is \( 40 \mathrm{~cm}, 60 \mathrm{~cm} \) and 50 cm respectively. It contains 50 liter of water, How much water is needed to fill it completely.

1. A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside ar it. Find the area of the path. A path 5 m wide runs along inside a square park of side 100 m . Find the area path. A painting is painted on a cardboard 8 cm long and 5 cm wide such that the margin of 1.5 cm along each of its sides. Find the total area of the margin. The side of a square flower bed is 1 m 80 cm . It is enlarged by digging a strit wide all around it. Find: (i) the area of the enlarged flower bed