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What is resultant of displacement?
The resultant of displacement is the vector sum of two or more displacements. It represents the total displacement from the starting point to the final position, taking into account both direction and magnitude. It can be calculated using vector addition methods.
What is the resultant velocity of the duck if it flies 10.0 ms due south against a gust of wind with a speed of 2.5 ms?
You said "against ... wind", and that's all the information I have that specifies the direction of the wind. I have to understand that to mean that the wind is from the south toward the north. In that case, the wind vector is exactly opposite to the duck vector. So, during the gust, the duck's ground speed is (10.0 - 2.5) = 7.5 ms.
What is the magnitude of the vector 13 ms to the east?
The magnitude of the vector 13 m/s to the east is 13 m/s.
What is the magnitude of the vector 15 ft s down?
The magnitude of the vector is simply the length of the vector, which is 15 ft. The direction given as "down" does not affect the magnitude, only the direction.
What are the methods of adding and subtracting vector quantities?
adding vectorsTo add two vectors, s+z, simply move the vector z to the end of the vector s.subtracting vectorsTo find the magnitude and direction of the difference between two vectors, s-z, simply draw a vector from z to s
What is resultant of displacement?
The resultant of displacement is the vector sum of two or more displacements. It represents the total displacement from the starting point to the final position, taking into account both direction and magnitude. It can be calculated using vector addition methods.
What is the resultant velocity of the duck if it flies 10.0 ms due south against a gust of wind with a speed of 2.5 ms?
You said "against ... wind", and that's all the information I have that specifies the direction of the wind. I have to understand that to mean that the wind is from the south toward the north. In that case, the wind vector is exactly opposite to the duck vector. So, during the gust, the duck's ground speed is (10.0 - 2.5) = 7.5 ms.
When solving vector addition problem s you can use either the graphical method or the?
analytical method. The graphical method involves drawing vectors to scale and using geometric techniques to find the resultant vector, which provides a visual representation of the problem. In contrast, the analytical method involves breaking down vectors into their components, performing vector addition using algebraic calculations, and then reconstructing the resultant vector. Both methods can yield the same result, but the choice depends on the context and preference for visual versus numerical solutions.
What is it called when a scalar and a vector are multiplied together?
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
How do you find resultant vector through Pythagorean theorem?
To find the resultant vector through the Pythagorean theorem, you first need to break down the vectors into their horizontal and vertical components. Then, square each component, add them together, and take the square root of the sum. This will give you the magnitude of the resultant vector. Lastly, use trigonometry to determine the direction of the resultant vector by finding the angle it makes with one of the axes.
How would you compute the resultant velocity given a linear velocity and an angular velocity?
by using trig. So draw a triangle out with the given information. for example 1 line is 12m/s, another line is Um/s (u for unknown) and one line is resultant velocity. add your angle in and use trig to work out what you want.
What is the magnitude of the vector 13 ms to the east?
The magnitude of the vector 13 m/s to the east is 13 m/s.
What is the magnitude of the vector 15 ft s down?
The magnitude of the vector is simply the length of the vector, which is 15 ft. The direction given as "down" does not affect the magnitude, only the direction.
What are the methods of adding and subtracting vector quantities?
adding vectorsTo add two vectors, s+z, simply move the vector z to the end of the vector s.subtracting vectorsTo find the magnitude and direction of the difference between two vectors, s-z, simply draw a vector from z to s
What has the author U Koschorke written?
U. Koschorke has written: 'Differential Topology' -- subject(s): Congresses, Differential topology 'Vector fields and other vector bundle morphisms' -- subject(s): Singularities (Mathematics), Vector bundles, Vector fields
Is km s a vector quantity?
km/s can be either a vector or a scalar quantity. It is a unit of speed, which is scalar, but if this speed is in a specific direction, thereby becoming velocity, it is vector.
Explain the difference between vector addition and vector resolution?
Vector addition derives a new vector from two or more vectors. The sum of two vectors, A = (a, b) and B = (c,d), is given as S = A+B = (a+c, b+d). Vector resolution should be called something like vector decomposition. It is simply the operation of taking a vector A and writing the components of that vector, (a,b). It's very easy to determine the horizontal and vertical component vectors using trigonometric identities. The vector A starts at the origin and ends at a point (a, b), vector resolution is the method for determining a and b. The lengths a and b can be computed by knowing the length of the original vector A (the magnitude or A) and the angle from the horizontal, theta: a = A*cos(theta), b = A*sin(theta). Going in the other direction, the vector A can be reconstructed knowing only a and b. The magnitude is given by A = sqrt(a*a + b*b). The angle theta is given by solving cos(theta) = a/A (or sin(theta) = b/A). And, in fact, if you take the component vectors a and b, their sum gives the original vector, A = a + b, where a should be thought of as a*i and b = b*j where i and j are unit vectors in x and y directions.Vector addition is when you add two or more vectors together to create a vector sum.
