37. The resultant of vectors 3 units in cast 12 units in northand 4 units vertically upward is(a) J23. The resultant of two equal forces is double of either of theforce. The angle between them is(a) o24, Fol the resultant of two vectors to be maximum, whatmust be the angle between them?(a) 0°Two forces of magnitude 7N and SN act on a particle atan angle e to each other , e can have any value theminimum magnitude of resultant force is(a) 2N(c) v265(d 1938. A particle is moving on a circular path with constantspeed v. What is the change in its velocity after it hasdescribed an angle of 60?(a) v2(b) 60(c) 90(a) 120°(b) 13(b) 60°e) 90(a) 180(c) v(d) 2v(c)(b) 039. A force of (77 +6k ) newton makes a body more on arough plane with a velocity of (37+4k)ms". Caleulate(b) SN(c) 8N(d) 12Nthe power in watt(a) 2426. If A is a vector of magnitude 4 units due East. What is(d) 45(b) 34(c) 21the magnitude and direction of a vector - 4 A ?(a) 4 units due East(c) 16 units due East27. A force of 10N acts on a particle along a directionmaking an angle of 60° with the vertical. What is thecomponent of the force in the vertical direction ?(a) 10N28. The magnitude of a given vector whose end points are at40. If A and B are two vectors, which is not correct?(b) 8 units due East(a) A+B = B+A(b) -B-(B-A)(d) 16 units due West(c) Ax B= Bx A41. If the vector A=2i+4j and B=Si- pj are parallel(d) A.B = B.Ato each other, the magnitude of B is(a) 5 5If Ax B =0 and B.A=-AB the angle between A(b) SN(c) 2N(d) IN(b) 10(c) 15(d) 2/5(4. -4) and (-2, -2) must be(a) 210 (b) 4/2(c) 5/1029. If A= 2i-2j+7k and B=-2i +j+k, then A.B(d) 6/3and Bis(a) zero(b) n/4(c) n2(d) tis equal to(a) 043. If A=-4i+3 and B= 2i+5j and C = AxB,(b) I(c) 5(d) 730. If A=i+2k and B=}-k, then A×Bis equal tothen the vector C makes an angle of(a) 45° with X axis(c) 0" with Z-axis44. The resultant of two forces (A+B) and (A - B) is a force(b) 180° with Y axis(d) 180° with Z-axis(a) 21--k(b) -2î ++R(d) 2î +}– 2k31. If the magnitudes of scalar and vector products of twoV34 + B. The angle between two given forces is(a) n/4(b) T/3(c) 2(d)45. If A and B denote the sides of a parallelogram and itsvectors are 6 and 6 V3 respectively, then the anglebetween two vectors isarea isAB (A and B are the magnitude of A and(a) 15°32. The arca of a parallelogram whose adjacent sides areP=2i+3) and O=i+4j is(b) 30°(c) 60°(d) 75°B respectively), the angle between A and B is(a) 3046. If a vector A makes an angle a, B and y respectively withthe X, Y and Z axes respectively. Then sin a + sin Bsin'y is equal to(a) 0(b) 60°(c) 45(d) 120(a) 5 square units(c) 20 square units(b) 15 square units(d) 25 square units33. A vector F is along the positive x-axis. If its vector(c) 247. The resultant of A and B is perpendicular to A. What(b) I(d) 3product with another vector F, is zero, then F, will be(e) -4k(ixB)and (Bx 4) isis the angle between A and B?(a) cos" (A/B)(c) sin (A/B)48. Given that A and B are greater than 1. The magnitude of(a) 4}(b) -4?(b) cos (-A/B)(d) sin (-A/B)(d) -434. The angle between the vectors(Ax B) can not be(a) zero (b) n radians (c) 3n radians (d) 5n radians35. The square of resultant of two equal forces is three timestheir product. Angle between the force is(a) equal to AB(c) more than AB(b) less than AB(d) equal to A/B49. Consider a vector F = 4i-3 j. Another vector that is(a) n(b) n/2(c) T/4(d) /3perpendicular to F is36. Three vectors A, B and Csatisfy the relation A.B-0and A.C-0. If B and C(a) 4î + 3 (b) 6?(c) 7R(d) 3i -47%3D0.are not lying in the same50. If A and B are two vectors and 0 is the angle betweenplane, then A is parallel to(a) Bthem, then A.B=0. When(b) C(c) BxC(a) A-0 (b) B-0 (c) 0= /2 (d) any one of them(d) B.C

Question

37. The resultant of vectors 3 units in cast 12 units in northand 4 units vertically upward is(a) J23. The resultant of two equal forces is double of either of theforce. The angle between them is(a) o24, Fol the resultant of two vectors to be maximum, whatmust be the angle between them?(a) 0°Two forces of magnitude 7N and SN act on a particle atan angle e to each other , e can have any value theminimum magnitude of resultant force is(a) 2N(c) v265(d 1938. A particle is moving on a circular path with constantspeed v. What is the change in its velocity after it hasdescribed an angle of 60?(a) v2(b) 60(c) 90(a) 120°(b) 13(b) 60°e) 90(a) 180(c) v(d) 2v(c)(b) 039. A force of (77 +6k ) newton makes a body more on arough plane with a velocity of (37+4k)ms&#34;. Caleulate(b) SN(c) 8N(d) 12Nthe power in watt(a) 2426. If A is a vector of magnitude 4 units due East. What is(d) 45(b) 34(c) 21the magnitude and direction of a vector - 4 A ?(a) 4 units due East(c) 16 units due East27. A force of 10N acts on a particle along a directionmaking an angle of 60° with the vertical. What is thecomponent of the force in the vertical direction ?(a) 10N28. The magnitude of a given vector whose end points are at40. If A and B are two vectors, which is not correct?(b) 8 units due East(a) A+B = B+A(b) -B-(B-A)(d) 16 units due West(c) Ax B= Bx A41. If the vector A=2i+4j and B=Si- pj are parallel(d) A.B = B.Ato each other, the magnitude of B is(a) 5 5If Ax B =0 and B.A=-AB the angle between A(b) SN(c) 2N(d) IN(b) 10(c) 15(d) 2/5(4. -4) and (-2, -2) must be(a) 210 (b) 4/2(c) 5/1029. If A= 2i-2j+7k and B=-2i +j+k, then A.B(d) 6/3and Bis(a) zero(b) n/4(c) n2(d) tis equal to(a) 043. If A=-4i+3 and B= 2i+5j and C = AxB,(b) I(c) 5(d) 730. If A=i+2k and B=}-k, then A×Bis equal tothen the vector C makes an angle of(a) 45° with X axis(c) 0&#34; with Z-axis44. The resultant of two forces (A+B) and (A - B) is a force(b) 180° with Y axis(d) 180° with Z-axis(a) 21--k(b) -2î ++R(d) 2î +}– 2k31. If the magnitudes of scalar and vector products of twoV34 + B. The angle between two given forces is(a) n/4(b) T/3(c) 2(d)45. If A and B denote the sides of a parallelogram and itsvectors are 6 and 6 V3 respectively, then the anglebetween two vectors isarea isAB (A and B are the magnitude of A and(a) 15°32. The arca of a parallelogram whose adjacent sides areP=2i+3) and O=i+4j is(b) 30°(c) 60°(d) 75°B respectively), the angle between A and B is(a) 3046. If a vector A makes an angle a, B and y respectively withthe X, Y and Z axes respectively. Then sin a + sin Bsin'y is equal to(a) 0(b) 60°(c) 45(d) 120(a) 5 square units(c) 20 square units(b) 15 square units(d) 25 square units33. A vector F is along the positive x-axis. If its vector(c) 247. The resultant of A and B is perpendicular to A. What(b) I(d) 3product with another vector F, is zero, then F, will be(e) -4k(ixB)and (Bx 4) isis the angle between A and B?(a) cos&#34; (A/B)(c) sin (A/B)48. Given that A and B are greater than 1. The magnitude of(a) 4}(b) -4?(b) cos (-A/B)(d) sin (-A/B)(d) -434. The angle between the vectors(Ax B) can not be(a) zero (b) n radians (c) 3n radians (d) 5n radians35. The square of resultant of two equal forces is three timestheir product. Angle between the force is(a) equal to AB(c) more than AB(b) less than AB(d) equal to A/B49. Consider a vector F = 4i-3 j. Another vector that is(a) n(b) n/2(c) T/4(d) /3perpendicular to F is36. Three vectors A, B and Csatisfy the relation A.B-0and A.C-0. If B and C(a) 4î + 3 (b) 6?(c) 7R(d) 3i -47%3D0.are not lying in the same50. If A and B are two vectors and 0 is the angle betweenplane, then A is parallel to(a) Bthem, then A.B=0. When(b) C(c) BxC(a) A-0 (b) B-0 (c) 0= /2 (d) any one of them(d) B.C

Accepted Answer

23.
Given 
Force A=B
R=2A

23. The resultant of two equal forces is double of either ofthe force. The angle between them is (b) 60 (s) 90 (a) 120"