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When multiplying two vectors What is the resultant?

When multiplying two vectors What is the resultant?

When two vectors are multiplied with each other and the product of the vectors is also a vector quantity, then the resultant vector is called the cross product of two vectors or the vector product. The resultant vector is perpendicular to the plane containing the two given vectors.

What happens to the resultant when the two vectors are equal and opposite?

When two vectors having the same magnitude are acting on a body in opposite directions, then their resultant vector is zero.

When vectors are added or subtracted their resultant is a vector is it also always true in case of multiplication of two vectors?

Answer: yes of course ! in case of zero vector it’s happened.

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Is multiplication of two vectors possible?

Yes, we can multiply two vectors either by dot product or cross product method. Dot product is defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. In a cross product, the multiplication of two vectors results in another vector perpendicular to them.

When a vector multiplied with scalar the resultant vector will be having change in its?

When multiplying a vector by a scalar, the direction of the vector is unchanged and the magnitude is multiplied by the magnitude of the scalar. This results in a new vector arrow pointing in the same direction as the old one but with a longer or shorter length.

What does it mean for two vectors to be equal?

For two vectors to be equal, they must have both the magnitude and the directions equal.

When two vectors are added or subtracted then the resultant is A?

To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two 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 .

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When two vectors in opposite direction are added the direction of the resultant vector will be?

The sum of two vectors is often called a resultant vector. Given the two vectors are of equal magnitudes but they are in opposite directions. Therefore they will cancel each other. And the resultant vector will be a zero vector.