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Why do non-perpendicular vectors need to be resolved into components before you can add the vectors together?
Wiki User
∙ 12y ago
Nonperpendicular vectors need to be resolved into components because the Pythagorean theorem and the tangent function can be applied only to right triangles.
Wiki User
∙ 12y ago
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Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
You can graphically add the vectors together without resolving them. However to mathematically add them they need to be resolved to find the new direction.
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
What is the sum of two or more vectors added together called?
The sum of any number of vectors is itself a vector, just as the sum of any number of scalars (normal numbers) is a normal number.If a vector is resolved into 2 components, x and y, in the form [x,y], then it can be added to any other vector resolved into 2 components [z,a].[x,y]+[z,a]=[x+z,y+a]
How do you add two vectors that aren't parallel or perpendicular?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)AnswerResolve both of the planes displacement vectors into x and y components and then add the components
What is the objectives of Resolution of Vectors?
One common reason why you need to do this is to add vectors. If you have two different vectors, and want to add them - algebraically, of course - then you first need to separate them into components. After you do that, you can easily add the components together.
How would you add two vectors that are not perpendicular or parallel?
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
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 vectors using the component method?
1) Separate the vectors into components (if they are not already expressed as components). 2) Add each of the components separately. 3) If required, convert the vectors back to some other form. For twodimensional vectors, that would polar form.
Can Scalar and vector quantities be added by the same method?
No, scalar can be added together directly, whereas vectors can only add their separate components together.
What are horizontal and vertical components?
vectors
How do you get the resultant of two or more vectors?
You can add the vectors graphically - join them head-to-tail. Or you can solve them algebraically: you can separate them into components, and add the components.
What is the magnitude of the resultant vectors when the angle between them is 60 degrees?
What about the two vectors? Are they of same magnitude? If so then the resultant is got by getting the resolved components. Here we need adjacent components. F cos30 + F cos30 = 2 F cos 30 = ./3 F If forces of different magnitude then we use R = ./ (P^2 + Q^2 + 2 P Q cos 60)
