Question: Can The Sum Of Two Vectors Be A Scalar?

When can the sum of two vectors be minimum and maximum?

The maximum is obtained when the two vectors are directed in the same direction.

The minimum s obtained when the two vectors are directed in the opposite direction..

What is a scalar product of two vectors?

Scalar products and vector products are two ways of multiplying two different vectors which see the most application in physics and astronomy. The scalar product of two vectors is defined as the product of the magnitudes of the two vectors and the cosine of the angles between them.

What lengths are needed for three vectors to have a vector sum of zero?

What length restrictions are required for three vectors to have a vector sum of zero? Explain your reasoning. No The required length restriction for three vectors is the sum of the lengths of any two of them must be greater than the third one. This is referred to as the triangle inequality.

Can two vectors of different magnitudes add to zero?

Can two vectors of unequal magnitude? Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero. Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.

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 is the sum of 2 vectors?

The 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 .

Can 3 unequal vectors add to zero?

Since a scalene triangle exists, three unequal vectors can add up to zero. The conditions for three vectors to form a triangle are: The sum of magnitudes of any two of them must be greater than the magnitude of third. magnitude of sum of two vectors must be equal to the magnitude of third.

Under what condition the sum of three vectors will be zero?

If magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector. If direction of resultant of those two vectors is exactly opposite to the direction of the third vector. If all above conditions are satisfied, then the resultant of three vectors will be zero.

What is the condition for two vectors to be parallel?

Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = cv, then u and v are parallel.

Can the sum of two vectors be equal to either vector?

What is the sum of two vectors? … If you mean that the sum of 2 vectors is equal to either vectors in terms of magnitude and direction, then no, unless both vectors are zero vectors. However, the direction of the sum of 2 vectors can be same as direction of either vectors provided that both vectors are parallel.

How do you find the angle sum of two vectors?

To add the two vectors, add them in coordinate form: (3.5, 3.5) + (5.7, 4.0) = (9.2, 7.5). Convert (9.2, 7.5) into magnitude/angle form. Apply the equation theta = tan–1(y/x) to find the angle, which is tan–1(7.5/9.2) = tan–1(0.82) = 39 degrees.

What is the minimum number of unequal vectors to result into a null vector?

we can take more than 2 vectors of unequal magnitude for the resultant to be zero.. so the minimum no. of vectors of unequal magnitude for the resultant to be zero and maximum is infinity.

What is a scalar sum?

Lesson Summary. Straight addition of numbers is referred to as scalar addition. With scalar addition, all you have to do is add your values together. You don’t have to worry about anything else. In physics, both mass and charge are scalar quantities, so you can use scalar addition with both of these.

What does scalar mean?

Definition of scalar (Entry 2 of 2) 1 : a real number rather than a vector. 2 : a quantity (such as mass or time) that has a magnitude describable by a real number and no direction.

Why can’t you 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.