GENERAL KNOWLEDGE

Detailed explanation-1: -The components of the displacement vector from P1 to P2 are (x2-x1) along the x-axis, (y2-y1) along the y-axis. The displacement vector d from P1 to P2 may be written as d = (x2-x1)i + (y2-y1)j.

Detailed explanation-2: -A displacement vector is the vector directing towards final position whose length is the shortest distance between the initial and the final point.

Detailed explanation-3: -The resultant displacement is the vector d, the sum of two vectors d1 and d2 which point in opposite directions. Details of the calculation: Thee sum of the two displacement vectors is d = d1 + d1 = (-110 m) + 25 m =-85 m.

Detailed explanation-4: -Position vector at point. A = r A ^ = 5 i ^ + 3 j ^ + 4 k ^ Position vector at point. B = r B ^ = 2 i ^ + 2 j ^ + 1 k ^ r B ^ − r B ^ = − 3 i ^ − j ^ − 3 k ^ The displacement of an object can also be defined as the vector distance between the initial point and the final point.