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DISPLACEMENT VECTOR...

DISPLACEMENT VECTOR

A

change in position

B

velocity

C

scalar

D

distance without direction

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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.

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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 ?

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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) .

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

SL ARORA-Motion in a Plane-Excercise
  1. If hati andhatj are unit vectors along X- and Y-axis respectively, th...

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  2. Find the components of vector vec(a)=3hat(i)+4hat(j) along the directi...

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  3. DISPLACEMENT VECTOR

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  4. A Body moves 6m north, 8m east and 10m vertically upwards, what is its...

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  5. If vec A = vec B+ vec C and the values of vec A, vec B and vec C are 1...

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  6. If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R|, then angle b...

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  7. The square of resultant of two equal forces is three times their produ...

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  8. Let the angle between two non-zero vectors vec(A) and vec(B) be 120^(...

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  9. The three initial and final position of a man on the X-axis are given ...

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  10. A bird flies from (-3 m,4 m,-3 m ) to (7 m, -2 m, -3 m) in XYZ co-ordi...

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  11. If a unit vector is represented by 0.5 hat(i) + 0.8 hat(j) + c hat(k) ...

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  12. Two vectors are perpendicular if

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  13. The angle between the two vectors A= 5 hat i +5 hat j, and B = 5 hat ...

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  14. When vecA.vecB=-|vecA||vecB|, then :-

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  15. The position vector of a point is R =x hat i +y hat j + z hat kand ano...

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  16. For vectors vec(A) and vec(B) making an angle theta which one of the f...

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  17. A vector vec A points vertically upward and vec B points towards. What...

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  18. If vectors 2i-j+k,i+2j-3k and 3i+mj+5k are coplaner, then m is a root ...

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  19. Which of the following is correct relation between an arbitrary vector...

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  20. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

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