SSC Higher Mathematics Note 12th Chapter Vectors in a Plane. We have learned scalar quantities and the use of different mathematical operations on these. But many activities of daily life cannot be explained with the concept of scalar quantity. So, we need the conception of the vector quantity. We shall discuss vector quantities in this chapter.
Measurement of things is necessary for all spheres of our daily life. The length of a body, the measure of time, an amount of money, measurement of volume and temperature are denoted respectively by 5 cm., 3 minutes, 12 takas, 5 liters and Co 6. For these measurements, it is sufficient to state those quantities with their respective units. Again, if it is stated that a man starting from a point first travels 4 meters and then 5 meters; then to determine his distance from the starting point, it is necessary to know the direction of his motion. It is not possible to determine correctly how far the man has moved from the starting point unless the exact direction of the motion is known. The quantity which is completely described by its magnitude with a unit is a scalar quantity. Each of length, mass, speed, temperature etc. is a scalar quantity. The quantity which for its complete description requires magnitude, as well as direction, is a vector quantity. Each of displacement, velocity, acceleration, weight, force etc. is a vector quantity.
SSC Higher Mathematics Note 12th Chapter Vectors in a Plane
In the first part of the chapter, through developing the concept of the Cartesian coordinate system among the learners, the tricks of determining the distance between the two points will be discussed. In the second part, the method of determining the measurement of any triangle, quadrilateral created by the straight line will be discussed and in the third part, the tricks of determining the slope of the straight line and determining the simplification of the joining straight line between the two points will be explained. No figure or equation associated with the curved line will be discussed here. In higher classes, it will be discussed elaborately.
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