photo.jpg

### **SCALARS AND VECTORS** In triangle OST, $tan β = \frac{ST}{OS}$ $ tan β = \frac{ST}{OP + PS}$ $tan β = \frac{B sin θ}{A + B cos θ}$ $\\$ ### **2(b).9 RESULTANT OF MORE THAN TWO VECTORS ACTING AT A POINT - "POLYGON'S LAW OF VECTORS ADDITION"** This law is used to find the resultant of a number...

### **SCALARS AND VECTORS** In triangle OST, $tan β = \frac{ST}{OS}$ $ tan β = \frac{ST}{OP + PS}$ $tan β = \frac{B sin θ}{A + B cos θ}$ $\\$ ### **2(b).9 RESULTANT OF MORE THAN TWO VECTORS ACTING AT A POINT - "POLYGON'S LAW OF VECTORS ADDITION"** This law is used to find the resultant of a number of vectors more than two. It states that, "if a number of vectors acting simultaneously at a point are represented by the sides of an open polygon, all taken in same order; their resultant is represented by the closing side of the polygon taken in the opposite order." Let A, B, C and D be the vectors acting simultaneously at a point [Fig. 2(b).20(i)]. Represent vector A by the line PQ. Draw other vectors in such a way that the tail of the following vector is at the head of the preceding one. All the vectors be taken in same order. Join the tail of the first vector with the head of the last one [Fig. 2(b).20(ii)]. The vector taken in the opposite order gives the resultant R.