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Can the directions of the sum of two two vectors be equal to the directions of difference of two vectors?
Yes.
The sum of two vectors is a minimum when the angle between them is what?
180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.
Is it possible to find the sum of two parallel vectors using the parallelogram method?
No, it is simpler than that. Simply add the two magnitudes. The direction will be the same as the parallel vectors.
What is vector dot product?
The dot-product of two vectors is the product of their magnitudes multiplied by the cosine of the angle between them. The dot-product is a scalar quantity.
When is the vector sum equal in magnitude to the algebraic sum?
When the angle between any two component vectors is either zero or 180 degrees.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
Can the sum of the magnitudes of two vectors ever b equal to the the sum of these two vectors?
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
When is the vector sum of two quatities equal in magnitude to the scalar sum?
When all the vectors have the same direction.
Why isn't the sum of two vectors a scalar?
A vector has direction, where as a scalar does not. When you add two vectors, it is like you are moving one vector to the end of the other vector, and closing off the triangle with a vector for the third side. That third vector is the addition of the first two vectors. The new vector points in a specific direction, so it cannot be a scalar.
Why is scalar product two vectors a scalar?
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
Is resultant a vector quantity?
Yes, the resultant is a vector quantity because it has both magnitude and direction. It is the vector sum of two or more vectors acting on a system.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
What is the difference between scalar and vector products of two vectors?
The scalar product (dot product) of two vectors results in a scalar quantity, representing the magnitude of the projection of one vector onto the other. The vector product (cross product) of two vectors results in a vector quantity that is perpendicular to the plane formed by the two input vectors, with a magnitude equal to the area of the parallelogram they span.
What is a matrix and a scalar?
A matrix and a scalar is a matrix. S + M1 = M2. A scalar is a real number whose square is positive. A matrix is an array of numbers, some of which are scalars and others are vectors, square of the number is negative. A matrix can be a quaternion, the sum of a scalars and three vectors.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Can a scalar product by a negative quantity?
Yes, a scalar product can be negative if the angle between the two vectors is greater than 90 degrees. In this case, the dot product of the two vectors will be negative.
