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If the component of vector A along the direction of vector B is zero. What can you conclude about these two vectors?
Wiki User
∙ 14y ago
Their directions are perpendicular.
Wiki User
∙ 14y ago
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When do you need to use component method for vector addition?
when the vectors are not all pointing in the same direction
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
How resolution of vector is used in applying the component methods in adding vectors?
The related question has a nice detail of this. Each vector is resolved into component vectors. For 2-dimensions, it is an x-component and a y-component. Then the respective components are added. These added components make up the resultant vector.
How do you add two null vectors by following vector laws of addition?
The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.
Why can vectors be used to represent forces?
A vector is a quantity with magnitude and direction. Since force has magnitude and direction, it is a vector
If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
When do you need to use component method for vector addition?
when the vectors are not all pointing in the same direction
What is a Resultant Vectors?
resultant vector is a vector which will have the same effect as the sum of all the component vectors taken together.
Multiplying or dividing vectors by scalars results in what?
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
How do you subtract vectors?
it depends on the method of subtraction. If the vectors are drawn graphically then you must add the negative of the second vector (same magnitude, different direction) tail to tip with the first vector. If the drawing is to scale, then the resultant vector is the difference. If you are subtracting two vectors <x1, y1> - <x2, y2> then you can subtract them component by component just like scalars. The same rules apply to 3-dimensional vectors
Do vectors have direction?
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
How do you find sum of both vector?
Two methods can be used for vector addition. (1) Graphically. Place the vectors head-to-tail, without changing their direction or size. (2) Analytically, that is, mathematically. Add the x-component and the y-component separately. The z-component too, if the vectors are in three dimensions.
What are the different methods in adding vectors?
Vectors can be added using the component method, where you add the corresponding components of the vectors to get the resultant vector. You can also add vectors using the graphical method, where you draw the vectors as arrows and then add them tip-to-tail to find the resultant vector. Additionally, vectors can be added using the trigonometric method, where you use trigonometry to find the magnitude and direction of the resultant vector.
Can a vector have a component greater than vectors magnitude?
No.
How does the magnitude of a vector relate to the dot product?
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
What two vectors does a vector have?
A vector has both magnitude (the size or length of the vector) and direction. These two characteristics define a vector and differentiate it from a scalar, which only has magnitude.
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
