3. Find a vector perpendicular to the plane of using the points \( P=(1,2,-4) \), \( Q=(2,5,-7) \) and \( R=(3,-5,-1) \). Also find area of the parallelogram and area of triangle. Furthermore find a unit vector perpendicular to the plane using these points.

Analitik düzlemde \( d_{1}: 2 x+y-12=0 \) ve \( d_{2}: x-y+6=0 \) doğruları veriliyor. 9. \( d_{1} \) ve \( d_{2} \) doğruları ile \( x \) ekseni arasında kalan alanın kaç birimkare olduğunu bulu- nuz. 10. \( d_{1} \) ve \( d_{2} \) doğruları ile eksenler arasında kalan alanın kaç birimkare olduğunu bulunuz.

The points \( \mathrm{A}(-2,7), \mathrm{B}(-3,4) \) and \( \mathrm{C}(1,16) \) are collinear.

إذا كان هرم بقيمة ارتفاع 10 سم وقاعدة مربعة طول ضلعها 4 سم، بينما يكون هناك منشور له نفس القاعدة وارتفاعه 15 سم. احسب الفرق في الحجم بين الهرم والمنشور.

cylindrical tank of diameter 28 m and height 2 m contains water to the dept Calculate: i) The capacity of the tank in litres. ii) The volume of water required to fill the tank in litres. Water was pumped into the tank starting at 11.25 a.m. to 1.15 pm . when calculate the rate at which water was pumped into the tank. i) A rectangular tank has a base measuring has a base measuring 2.4 m bJ the capacity of the tank is 6480 litres, find the height of the tank in metre ii) The above tank was initially \( 1 / 4 \) full of water

2. In a circle with centre \( O \) and radius \( 13 \mathrm{~cm}, \mathrm{AB} \) is a chord. If \( \mathrm{OM} \perp \mathrm{AB} \) and \( O M=5 \) is the length of \( A B \) ? 3. In a circle of radius 7 cm , find the distance of a chord of length 9 cm from the cent 4. In circle of radius 13 cm , a chord is drawn at a distance 12 cm from the centre. length of the chord. 5. A chord of a circle is 6 cm in length and its distance from the centre is 4 cm . Find th of the same circle.