DISPLACEMENT VECTOR

STATEMENT - 1 : Distance travelled by a particle moving rectilinearly may not be equal to magnitude of displacement of the particle. and STATEMENT - 2 : Distance travelled is a scalar but displacement is a vector.

Position Vector |Displacement ,Distance |Average Speed, Average Velocity|Instantaneous Velocity |OMR

Assertion: The displacement of a body is vector sum of the area under velocity-time graph. Reason: Displacement is a vector quantity.

There are two vectors Force vec(A) = (hat(i) + 3 hat(j) - hat(k)) N and Position vec(B) = (hat(i) + 3 hat(j) - hat(k))m that can be used by two students Alia and Varun. Following are the steps following by each of them. Alia : Step 1 : Calculate unit vector of vec(A) by dividing it by its magnitude and get hat(A) = (hat(i) + 3 hat(j) - hat(k))/(sqrt11) Alia : Step 2 : Get a displacement vector of magnitude 10m using hat(A) Displacement vector = (10(hat(i) +3 hat(j) - hat(k))/(sqrt11)) m Varun : Step 1 : Calculate unit vector of vec(B) by dividing vec(B) by its magnitude and get, hat(B) = ((hat(i) + 3 hat(j) - hat(k))/(sqrt11)) Varun : Step 2 : Get a force vector of magnitude 10 N by using vec(B) Force vector = (10(hat(i) + 3 hat(j) - hat(k)) N)/(sqrt11) Siddharth, a third student, comes and says when we divide or multiply a vector by a scalar, then the physical quantity represented by the vector from a displacement vector from a force vector or a force vector from a displacement vector as calculated by Alia and Varun repectivley. Who is/are correct ?

Understanding Rest And Motion|Frame Of Reference|Introduction To Mechanics|Kinematics|Motion In A Straight Line|Practice Exercise|Position Vector And Displacement Vector|Distance And Displacement|Average Speed And Average Velocity|Instantaneous Velocity And Instantaneous Speed|Average And Instantaneous Acceleration|Practice Exercise|Summary

Statement-I : If the initial and final positions coincide, the displacement is a null vector. Statement-II : A physical quantity can not be called a vector, if its magnitude is zero.

Assertion (A) : The position of a particle on a rectangular coordinate system is (3,2,5). Then its position vector be 2hat(i)+5hat(j)+3hat(k) . Reason (R ) : The displacement vector of the particle that moves from point P(2,3,5) to point Q(3,4,5) is hat(i)+hat(j) .

Position Vector ( स्थिति सदिश )|Unit Vector ( एकक सदिश )|Displacement ( विस्थापन )|Average Velocity ( औसत वेग )|Instantaneous Velocity ( तात्क्षणिक वेग ) |OMR

Classify the following as scalars and vectors : Time Distance Displacement Force Work Torque Velocity Speed Acceleration Mass