Quick Answer: What Is Meaningful Expression?

Is scalar vector meaningful?

(b)The addition of a vector quantity with a scalar quantity is not meaningful..

What is the sum of 2 vectors?

resultantThe sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .

What is a vector definition?

Definition of a vector. A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. … Two examples of vectors are those that represent force and velocity.

What is a vector sum?

A vector sum is the result of adding two or more vectors together via vector addition. It is denoted using the normal plus sign, i.e., the vector sum of vectors , , and is written .

How do you calculate a vector?

To work with a vector, we need to be able to find its magnitude and its direction. We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2.

What is the vector sum formula?

To add two vectors, make the initial point of the second vector coincide with the final point of the first, and then complete the triangle. The third side (joining the initial point of the first vector to the final point of the second vector) represents the sum of the two vectors. Find →a+→b a → + b → .

Can we add any two vectors?

Two vectors can be added together to determine the result (or resultant).

Is it meaningful that scalar can be added to vector of same dimension?

A scalar cannot be added to a vector even of same dimensions because a vector has a direction while a scalar has no direction e.g., speed cannot be added to velocity.

What is null vector example?

A null vector is a vector that has magnitude equal to zero and is directionless. It is the resultant of two or more equal vectors that are acting opposite to each other. A most common example of null vector is pulling a rope from both the end with equal forces at opposite direction.

What are the properties of null vector?

It is defined as a vector that has zero length or no length and with no length, it is not pointing to any particular direction. Therefore, it has no specified direction or we can say an undefined direction. The identity element of the vector space is called a zero vector. It is also known as a null vector.

Can we add three vectors not lying in the same plane to get a null vector?

(e) Three vectors not lying in a plane can never add up to give a null vector.

Is angular frequency a vector?

Its direction is given by the right-hand rule, the same as angular momentum. It is a full vector. The angular frequency, as you say, is the magnitude of the angular velocity, and is hence a scalar. It has no direction.

Is coefficient of friction scalar or vector?

The coefficient of friction is a scalar. It does *not* change the direction of the normal force. The kinetic friction force is exerted parallel to the surface with which the object is in contact, and acts in the direction opposite to the velocity of the object relative to the surface.

Can a scalar quantity be negative?

Scalar quantity can never be Negative. Because scalar got only magnitude not direction. And magnitude cant be negative.

Which of the following expression are meaningful?

But(→u. →v)→w is a scalar multiple of →w. So it is meaningful.

Which of the following is null vector?

Reason: Null vector is a vector with zero magnitude. Cross product of two paralle or antiparallel vectors is a null vector.

What do you mean by multiplication of a vector by a real number?

When a vector A is multiplied by a real number λ, we get another vector λ A. The magnitude of λ A is λ times the magnitude of A. If λ is positive, then the direction of λ A is same as that of A. If λ is negative, then the direction of λ A is opposite to that of A.

Is energy a vector or a scalar?

Mass and energy are scalar quantities, while momentum is a vector quantity. This results in a coupled set of equations, called the Navier-Stokes equations, which describe how fluids behave when subjected to external forces.

Are vector vectors meaningful?

Answer. Explanation: Vectors have both magnitude and direction while scalar have only magnitude. vector/scalar is a meaningful term.

Why is it not possible to add a scalar to a vector?

Although vectors and scalars represent different types of physical quantities, it is sometimes necessary for them to interact. While adding a scalar to a vector is impossible because of their different dimensions in space, it is possible to multiply a vector by a scalar.

Is the magnitude of a vector always scalar?

The magnitude of a vector is always a scalar, 2. each component of a vector is always a scalar, 3.

What is unit vector and null vector?

UNIT VECTOR- a vector which has a magnitude of one. NULL VECTOR- Null vector is a vector with a zero magnitude. … As the point moves, the position vector will change in length or in direction or in both length and direction.

What is the sum of two vectors maximum and minimum?

The sum of two vectros is maximum , when both thectros are in the same direction and is minimum when they act in opposite directions.

Can a magnitude be negative?

Question: Can magnitude be negative? … Answer: Magnitude cannot be negative. It is the length of the vector which does not have a direction (positive or negative). In the formula, the values inside the summation are squared, which makes them positive.