Physics-
General
Easy

Question

A vector stack A with rightwards arrow on top when added to the vector stack B with rightwards arrow on top =3 stack i with hat on top plus 4 stack j with hat on top yields a resultant vector that is in the positive y direction and has a magnitude equal to that of stack B with rightwards arrow on top. Find the magnitude of stack A with rightwards arrow on top

  1. square root of 10  
  2. 10  
  3. 5  
  4. square root of 15  

The correct answer is: square root of 10


    Given stack C with rightwards arrow on top equals open vertical bar stack B with rightwards arrow on top close vertical bar stack j with hat on top blank rightwards double arrow blank stack C with rightwards arrow on top equals 5 stack j with hat on top
    Let stack C with rightwards arrow on top equals stack A with rightwards arrow on top plus stack B with rightwards arrow on top equals A plus 3 stack i with hat on top plus 4 stack j with hat on top
    5 stack j with hat on top equals A plus 3 stack i with hat on top plus 4 stack j with hat on top
    rightwards double arrow blank stack A with rightwards arrow on top equals-3 stack i with hat on top plus stack j with hat on top
    open vertical bar stack A with rightwards arrow on top close vertical bar equals square root of open parentheses 3 close parentheses to the power of 2 end exponent plus open parentheses 1 close parentheses to the power of 2 end exponent end root
    equals square root of 10

    Related Questions to study

    General
    Physics-

    The simple sum of two co-initial vectors is 10 units. Their vector sum is 8 units. The resultant of the vectors is perpendicular to the smaller vector. The magnitudes of the two vectors are

    The simple sum of two co-initial vectors is 10 units. Their vector sum is 8 units. The resultant of the vectors is perpendicular to the smaller vector. The magnitudes of the two vectors are

    Physics-General
    General
    Physics-

    In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electron

    In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electron

    Physics-General
    General
    Physics-

    A wheel completes 2000 revolutions to cover the 9.5 blank k m. distance. Then the diameter of the wheel is

    A wheel completes 2000 revolutions to cover the 9.5 blank k m. distance. Then the diameter of the wheel is

    Physics-General
    parallel
    General
    Physics-

    For a body moving in a circular path, a condition for no skidding if mu is the coefficient of friction, is

    For a body moving in a circular path, a condition for no skidding if mu is the coefficient of friction, is

    Physics-General
    General
    Physics-

    A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

    A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

    Physics-General
    General
    Physics-

    If a particle covers half the circle of radius R with constant speed then

    If a particle covers half the circle of radius R with constant speed then

    Physics-General
    parallel
    General
    Physics-

    A mass of 2 blank k g is whirled in a horizontal circle by means of a string at an initial speed of 5 r e v o l u t i o n s blank p e r blank m i n u t e. blankKeeping the radius constant the tension in the string is doubled. The new speed is nearly

    A mass of 2 blank k g is whirled in a horizontal circle by means of a string at an initial speed of 5 r e v o l u t i o n s blank p e r blank m i n u t e. blankKeeping the radius constant the tension in the string is doubled. The new speed is nearly

    Physics-General
    General
    Physics-

    A cricketer can throw a ball to a maximum horizontal distance of 100 blank m. The speed with which he throws the ball is (to the nearest integer)

    A cricketer can throw a ball to a maximum horizontal distance of 100 blank m. The speed with which he throws the ball is (to the nearest integer)

    Physics-General
    General
    Physics-

    Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination isbeta. If proportional to be the angle of projection of the first body with the horizontal the ratio of their times of flight is

    Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination isbeta. If proportional to be the angle of projection of the first body with the horizontal the ratio of their times of flight is

    Physics-General
    parallel
    General
    Physics-

    A projectile is thrown at angle beta with vertical. It reaches a maximum height H. The time taken to reach the highest point of its path is

    A projectile is thrown at angle beta with vertical. It reaches a maximum height H. The time taken to reach the highest point of its path is

    Physics-General
    General
    Physics-

    A particle is moving with velocity v equals k open parentheses y stack stack i with dot on top with hat on top plus x blank stack stack j with dot on top with hat on top close parentheses commawhere k blankis a constant. The general equation for its path is

    A particle is moving with velocity v equals k open parentheses y stack stack i with dot on top with hat on top plus x blank stack stack j with dot on top with hat on top close parentheses commawhere k blankis a constant. The general equation for its path is

    Physics-General
    General
    Physics-

    The force required to keep a body in uniform circular motion is

    The force required to keep a body in uniform circular motion is

    Physics-General
    parallel
    General
    Physics-

    An aeroplane moving horizontally at a speed of 200 blank m divided by s and at a height of 8.0 cross times 10 to the power of 3 end exponent blank m is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

    An aeroplane moving horizontally at a speed of 200 blank m divided by s and at a height of 8.0 cross times 10 to the power of 3 end exponent blank m is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

    Physics-General
    General
    Physics-

    In uniform circular motion of a particle

    In uniform circular motion of a particle

    Physics-General
    General
    Physics-

    A small particle of mass m blankis projected at an angle theta with the x-axis with an initial velocity v subscript 0 end subscript in the x-y plane as shown in the figure. A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma the angular momentum of the particle is

    A small particle of mass m blankis projected at an angle theta with the x-axis with an initial velocity v subscript 0 end subscript in the x-y plane as shown in the figure. A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma the angular momentum of the particle is
    Physics-General

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.