N-2.2-Excercise Problems with solutions 

N – 2.2 – Product of two vectors – Exercise Problems with solutions

Part – A Soln: = 1(1) + 1(1) + 0 = 1 + 1 = 2 Soln: = 2(3) + 3(2) – 2 (6) = 6 + 6 -12 = 0 Soln: 2(p) + 1(3) – 5 (-2) = 0 2p + 3 +10 = 0 2p + 13 = 0 Soln: Part –B Soln: Soln: Part –C Soln: = 1(1) + 2(1) + 1(-3) = 0 = 1(7) + 1(-4) – 3(1) = 7 – 4 – 3 = 0 = 7(1) -4 (2) + 1 (1) = 7…

Read More

2.2 PRODUCT OF VECTORS

Definition:  Properties of Scalar Product: Example  : Soln: = 2(3) – 4 (-6) + 8 (12) = 6 + 24 + 96 = 126 Example  : Soln: = 2(3) + 3(2) – 2 (6) = 6 + 6 -12 = 0 Soln: 3(-6) – 1(m) + 5 (4) = 0 -18 – m + 20 = 0 -m + 2 = 0 m = 2 Soln: = 1(0) – 1(4) + 2 (2) = 0 = 0(-10) + 4(-2) + 2 = 0 – 8 + 8 = 0 =…

Read More

2.1 VECTOR – INTRODUCTION

Vectors constitute one of the several Mathematical systems which can be usefully employed to provide mathematical handling for certain types of problems in Geometry, Mechanics and other branches of Applied Mathematics. Vectors facilitate mathematical study of such physical quantities as possess Direction in addition to Magnitude. Velocity of a particle, for example, is one such quantity. Physical quantities are broadly divided in two categories viz (a) Vector Quantities & (b) Scalar quantities. ( a ) Vector quantities : Any quantity, such as velocity, momentum, or force, that has both magnitude…

Read More