The magnitude of (i + 2j) is sqrt(5).
The magnitude of your new vector is 2.
If both vectors are in the same direction, then each component of one vector is
in the same ratio to the corresponding component of the other one.
The components of the known vector are 1 and 2, and its magnitude is sqrt(5).
The magnitude of the new one is 2/sqrt(5) times the magnitude of the old one.
So its x-component is 2/sqrt(5) times i, and its y-component is 2/sqrt(5) times 2j.
The new vector is [ (2/sqrt(5))i + (4/sqrt(5))j ].
Since the components of both vectors are proportional, they're in the same direction.
a vector
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
2pi/3 radian or equivalent 120 degree
a and b must face in opposite directions.
A vector quantity can be described in many different units, because there are many different vector quantities. For example, a distance - when the direction is relevant - would be indicated in meters or km. (plus a direction), a velocity in meters per second plus a direction, an acceleration in meters per second square, plus a direction. Electric field might be indicated in Volts / meter, if I remember correctly again, including an indicating the direction.
a vector
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
2pi/3 radian or equivalent 120 degree
Speed is scalar (that is, without direction) and velocity is a vector (speed plus direction) by definition in physics.
1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com
The y component of a vector can be found using the sine ratio since: sin θ = opp/hyp = y-component/magnitude → y-component = magnitude × sin(angle_of_vector) The y-component of the resultant vector is the sum of the y-components of each of the vectors: v1: y1 = 4 × sin 15° v2: y2 = 9 × sin 350° → v = v1 + v2: y = y1 + y2 = 4 sin 15° + 9 sin 350° ≈ −0.528
a and b must face in opposite directions.
A vector quantity can be described in many different units, because there are many different vector quantities. For example, a distance - when the direction is relevant - would be indicated in meters or km. (plus a direction), a velocity in meters per second plus a direction, an acceleration in meters per second square, plus a direction. Electric field might be indicated in Volts / meter, if I remember correctly again, including an indicating the direction.
Speed is a measure of how fast an object is going. This is a scalar quantity, which means it only gives magnitude (size) information. Velocity is a vector quantity, which is very similar to speed, but it also includes direction information.Example:Speed of car = 60 km/hVelocity of car = 60 km/h in a Northwesterly direction
Vector measurements involve a direction. For example, 28km/h, E. The measurement of 28km/h is present, plus the direction, east. Displacement, velocity, force, and acceleration are examples of vector quantities.
A vector is a quantity with both magnitude (strength) and direction. Like a force having a strength in pounds and a direction. Or a wind having magnitude (in mph) and direction (Northeast). A scalar has only magnitude. Like the length of a segment or amount of peanuts in a jar. Scalars are just numbers.
Vector measurements involve a direction. For example, 28km/h, E. The measurement of 28km/h is present, plus the direction, east. Displacement, velocity, force, and acceleration are examples of vector quantities.