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Vectors can be added graphically: draw one vector on paper, move the other so that its tail coincides with the head of the first.
Vectors can also be added by components. Just add the corresponding components together. For example, if one vector is (10, 0) and the other is (0, 5) (those two would be perpendicular), the combined vector is (10+ 0, 0 + 5), that is, (10, 5). Such a vector can also be converted to polar coordinates, that is, a length and an angle; use the "rectangular to polar" conversion on your scientific calculator to do that.
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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)
When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?
Yes.
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
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
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)
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.
When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?
Yes.
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
A vedtor which is perpendicular to every vector?
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
When are vectors said to be perpendicular?
Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
Why do non-perpendicular vectors need to be resolved into components before you can add the vectors together?
Nonperpendicular vectors need to be resolved into components because the Pythagorean theorem and the tangent function can be applied only to right triangles.
Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
Dot product of two perpendicular vectors?
Zero.
Real life example of two perpendicular vectors?
Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.
What is the dot product of two perpendicular vectors?
zero is the answer
