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Can two vectors have same components but different magnitudes?

Posted on August 14, 2021 by Author

Table of Contents

  • 1 Can two vectors have same components but different magnitudes?
  • 2 Are two vectors considered equal as long as they have the same magnitude?
  • 3 When two vectors in the same direction are added the magnitude of resultant vector is equal to?
  • 4 Can we add two vectors?
  • 5 Is the direction of a vector the same as its magnitude?
  • 6 Can two points have the same magnitude but different origins?

Can two vectors have same components but different magnitudes?

Two or more vectors are equal when they have the same length, and they point in the same direction. If these two vectors are equal, then: ax1 = bx1 and ay1 = by1. Equal vectors can have different starting and ending points, but their magnitudes and orientation must be the same.

Can 2 vectors of different magnitude?

Yes. Any two vectors are said to be “equal vectors” , when they have same magnitude and same direction. In all other cases apart the above one case , they are called “unequal vectors.” So, If two vectors have same magnitude but different directions , they are called unequal vectors.

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Are two vectors considered equal as long as they have the same magnitude?

Two vectors are considered equal as long as they have the same magnitude. The vector resultant of an object’s changes in position is the same as its displacement.

Is vector A and B?

Geometrically, the cross product of two vectors is the area of the parallelogram between them. Since this product has magnitude and direction, it is also known as the vector product . A × B = AB sin θ n̂ The vector n̂ (n hat) is a unit vector perpendicular to the plane formed by the two vectors.

When two vectors in the same direction are added the magnitude of resultant vector is equal to?

The resultant of two vectors u and v is perpendicular to the vector u and its magnitude is equal to half of the magnitude of vector v .

Is it possible to combine a two equal b two unequal vectors to give zero resultant prove your answer?

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Can two vectors of unequal magnitude add up to give the zero vector? Two unequal vectors can never give zero vector by addition .

Can we add two vectors?

Two vectors can be added together to determine the result (or resultant). That is the net force was the result (or resultant) of adding up all the force vectors.

What is Vector cereal?

Vector cereal, more accurately known as Vector Meal Replacement, is a cereal from Kellogg’s that’s advertised as more than a breakfast cereal and is an entire meal in a bowl. Vector contains whole-grain wheat, rice and rice flour, soy protein, salt, cinnamon, shortening, vegetable oil, whole oats and soy lecithin.

Is the direction of a vector the same as its magnitude?

Not necessarily. Suppose -x is the angle that vector C makes with vector A. The direction of B and C is different as they make different angles from A despite the fact that they have the same magnitude, i.e.]

What happens when you reverse the direction of a vector?

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Thus, reversing the direction of all components of a vector simply gives you the negative of the original vector (which, of course, is the same thing as reversing the vector). If vectors A. B=A. C, must vector B be equal to vector C?

Can two points have the same magnitude but different origins?

For both, the answer is yes. Assume the origins of A and B are the point X=0, and if in the XY plane, Y=0. Any point, other than B, on a circle centered at [X,Y] = [0,0] with a radius of ||B|| (the magnitude of B) forms a vector wrt the origin that has the same magnitude as B and different component.

Can you add and subtract components of a vector?

You can actually add, subtract, and do anything with those resultant vectors just like any vector, and the result will be the same as if you calculated all the components one by one. It seems just a lucky coincidence that the idea works, and it is lucky for us.

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