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A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
Triangle Law of Vector Addition is used to add two vectors when the first vector's head is joined to the tail of the second vector and then joining the tail of the first vector to the head of the second vector to form a triangle, and hence obtain the resultant sum vector.
A vector V in the plane or in space is an arrow: it is determined by its length, denoted V and its direction. Two arrows represent the same vector if they have the same length and are parallel (see figure 13.1). We use vectors to represent entities which are described by magnitude and direction.
Triangle Law for finding the resultant of two vectors: If 2 vectors are drawn head to tail, the vector from the tail of the first to the head of the second is the resultant. Parallelogram Law for finding the resultant of two vectors: If 2 vectors, drawn tail to tail, are the adjacent sides ab and ad of a parallelogram abcd, the
This is known as the triangle law of vector addition. In general, if we have two vectors a r and b r (Fig 10.8 (i)), then to add them, they are positioned so that the initial point of one coincides with the terminal point of the other (Fig 10.8(ii)). Fig 10.8 For example, in Fig 10.8 (ii), we have shifted vector b r without changing its magnitude
This is known as the triangle law of vector addition. In general, if we have two vectors and (Fig 10.8 (i)), then to add them, they are positioned so that the initial point of one coincides with the terminal point of the other
12 Μαΐ 2019 · Vector Notes PDF: Download Handwritten Vector Algebra Notes for free in pdf. Topics included: Vectors & Scalars Addition of Vectors Triangle Law of Vector Addition Parallelogram Law of Vector Addition.
