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What does vectors an in science?
In science, vectors are quantities that have both magnitude and direction. They are used to represent various physical phenomena, such as force, velocity, and acceleration. For example, a vector can indicate not only how fast an object is moving (magnitude) but also the direction in which it is moving. This makes vectors essential for understanding and analyzing motion and interactions in physics and engineering.
What is the resultant acceleration?
Acceleration is a vector, meaning each acceleration has both magnitude and direction. The resultant of vectors is basically the net acceleration on the object expressed as a single vector. For example, if there are two vectors each with a magnitude of 2 meters/(seconds squared) acting on an object and these vectors were placed on the x and y axes then you could represent this system of 2 vectors 90 degrees apart each with a magnitude of two meters/(seconds squared) as one vector of 45 degrees with a magnitude of 2 times the square root of 2 meters/(seconds squared).
How is a resolution of a vector different from the resultant of vectors?
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
What is a change in speed or direction?
Acceleration
A quantity that has direction as well as size is a?
a vector
Is it possible to add three vectors of equal magnitudes and get zero?
Of course it is! for example, [1, √3] + [-2, 0] + [1, - √3 ] = [0, 0]. Like this example, all other sets of such vectors will form an equilateral triangle on the graph.. Actually connecting the endpoints of the 3 vectors forms the equilateral triangle. The vectors are actually 120° apart.
How artificial chromosomes are used as cloning vectors with example?
how artificial chromosome are used as cloning vectors with example?
What is the sum of 2 vectors?
To find the sum of two vectors, you add their corresponding components together. For example, if you have two vectors A = (3, 5) and B = (2, -1), the sum would be A + B = (3 + 2, 5 + (-1)) = (5, 4).
Can the scaler product of two vectors be negetiv if the answer is yes provid a proof and given exampl?
Yes, for example the vectors <1, 0> and <-1, 0>. In general, if the angle between the two vectors is more than 90 degrees (or pi/2 radians), the scalar product is negative.
Can dotproduct of two vectors be negative?
The dot-product of two vectors tells about the angle between them. If the dot-product is positive, then the angle between the two vectors is between 0 and 90 degrees. When the dot-product is negative, the angle is more than 90 degrees. Therefore, the dot-product can be any value (positive, negative, or zero). For example, the dot product of the vectors and is -1*1+1*0+1*0 = -1 which is negative.
Two classes of vector?
This question is unfortunately not specific enough. Depending on your criteria you can arbitrarily divide vectors into two (or more) classes. For example I can divide all vectors into those with length 1 and those of other lengths.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
How you can add the vectors?
1) Graphically. Move one of the vectors (without rotating it) so that its tail coincides with the head of the other vector. 2) Analytically (mathematically), by adding components. For example, in two dimensions, separate each vector into an x-component and a y-component, and add the components of the different vectors.
Can the resultant magnitude of 2 vectors be smaller than either of the vectors?
Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.
Can the walking on a road be an example of resolution of vectors?
No, walking on a road is not an example of resolving vectors. Resolving vectors involves breaking down a single vector into components along given axes to simplify calculations. Walking on a road involves physical movement in a specific direction and is not directly related to vector resolution.
What is the sum of two or more vectors?
You can use the parallelgram rule, or if you have the vectors written as components you can just add them. If you give me an example I will help more Doctor Chuck
Can the resultant or two vectors of the same magnitude be equal to the magnitude of either of the vectors?
No, the resultant of two vectors of the same magnitude cannot be equal to the magnitude of either of the vectors. The magnitude of the resultant of two vectors is given by the formula: magnitude = √(A^2 + B^2 + 2ABcosθ), where A and B are the magnitudes of the vectors and θ is the angle between them.
