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How will you multiply a vector by positive number?
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
What is the definition of vector How do you represent vectors How do you combine vectors?
A vector is a mathematical object that has both magnitude and direction, often represented as an arrow in a coordinate system. Vectors can be represented in component form, such as (\mathbf{v} = (v_x, v_y)) in 2D or (\mathbf{v} = (v_x, v_y, v_z)) in 3D. To combine vectors, you can use vector addition, which involves adding their corresponding components; for example, (\mathbf{u} + \mathbf{v} = (u_x + v_x, u_y + v_y)). Additionally, vectors can be combined using scalar multiplication, where each component of the vector is multiplied by a scalar value.
What is the difference between a vector and a line?
A vector is a mathematical entity that has both magnitude and direction, typically represented as an arrow in space, while a line is a one-dimensional geometric figure that extends infinitely in both directions without any endpoints. Vectors can represent displacement, force, or velocity, whereas a line can be defined by a linear equation or two points. Essentially, a vector conveys a specific direction and length, while a line represents a continuous set of points with no inherent directionality or length.
What is the number bi?
The answer depends on the context, but bi is a variable, not a number. It could be the ith of a set of variables b1, b2, ... .Or it could be the square root of -b2.Or it could be a vector of magnitude b in the idirection.
Is Photoshop a raster or vector based program?
raster
How will you multiply a vector by positive number?
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
When a vector acting 90 degree and multiply by negative number the result vector acting at?
When a vector is multiplied by a negative number, it changes direction by 180 degrees but keeps the same magnitude. Therefore, a vector initially acting at 90 degrees would end up acting at 270 degrees (or -90 degrees) after being multiplied by a negative number.
What is a scalar multiplied by a vector?
A scalar multiplied by a vector involves multiplying each component of the vector by the scalar value. This operation scales the vector's magnitude while retaining its direction if the scalar is positive, or reversing its direction if the scalar is negative. The result is a new vector that has the same direction as the original (or the opposite direction if the scalar is negative) but a different magnitude.
What is meant by negative vector?
A negative vector is a vector that has the opposite direction of the original vector but the same magnitude. It is obtained by multiplying the original vector by -1. In other words, if the original vector points in a certain direction, the negative vector points in the exact opposite direction.
What is the relationship between numbers and vectors discussing the displacement vector t and a negative?
A vector has a direction associated with it. A number (or scalar) does not.
What is different between negative vector and null vector?
A null vector has no magnitude, a negative vector does have a magnitude but it is in the direction opposite to that of the reference vector.
Can scalar be a negative number?
Yes, a scalar can be a negative number. For instance: c<x₁,x₂> = <cx₁,cx₂> such that <x₁,x₂> is a vector. Let c = -1 for instance. Then, we have this vector: <-x₁,-x₂> Compared to <x₁,x₂>, <-x₁,-x₂> has negative signs. In physics and mathematics, if we multiply the vector or something by a negative value scalar, then the direction of the vector is reversed, and the magnitude stays the same. If the magnitude increases/decreases, and the direction of the vector is reversed, then we can multiply the vector by any negative non-1 scalar value.
Can be magnitude of a vector have negative value?
Vectors have magnitude and direction. The magnitude is always a positive number.
What is negative vector in physics?
In physics, a negative vector is a vector that points in the opposite direction to a positive vector of the same magnitude. Negative vectors are used to represent quantities or forces that act in the opposite direction within a specific coordinate system.
How can an object have negative momentum?
An object can have negative momentum if it is moving in the opposite direction to a chosen positive direction. Momentum is a vector quantity that considers both the mass and velocity of an object, so moving in the opposite direction as chosen positive direction can result in negative momentum.
Can the magnitude of a vector be negative?
No, the value can't be negative because magnitude of a vector is just how long it is regardless of its direction. :-)
When should you express a vector along the x-axis as a negative vector?
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
