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The length, or magnetude, of the vector is the square root of (6^2 + 8^2), or 10. The angle of inclination is tan-1 of (8/6), or 53.13 degrees.

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8y ago
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9y ago

The length is 10 and the angle of inclination is 0.927 radians.

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Q: If the x and y components of a vector are respectively 6 and 8. What is the length and angle of inclination?
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What is the Formula For Calculating The Magnitude Of The Resultant Of Two Or More Vectors Acting At obtuse Angle?

No matter what the angles are:* Express the vectors in Cartesian (rectangular) coordinates; in two dimensions, this would usually mean separating them into an x-component and a y-component. * Add the components of all the vectors. For example, the x-component of the resultant vector will be the sum of the x-components of all the other vectors. * If you so wish (or the teacher so wishes!), convert the resulting vector back into polar coordinates (i.e., distance and direction).


Is rotation scalar or vector?

Rotation is a vector having a direction and magnitude.


Positive rotation of a vector is?

counterclockwise


What is vector in math?

Simply put, a vector is 2 dimensional. Think of speed - it is only one dimensional. It is not a vector, it is a scalar. It is measured in a scale, most commonly noticed when inside a vehicle. You are travelling at 100km/h (60mph) Vectors are 2 dimensional, they have a magnitude and a direction. Think of velocity, as an arrow - imagine you are travelling at 60 mph in a northerly direction, your arrow would be pointing to the notth, with a magnitude of 60mph, If you were travelling at 60mph in a southerly direction, your velocity vector would be pointing towards the south, the exact opposite of your vector if you were travelling in a northerly direction. However the speed in these two scenario's, speed not being a vector, remains exactly the same, 60mph.


Why only cos theta is used in vector functions?

It's not. Cos(Θ) only gives you the x-component of a vector. In order to find its y-component, you also need to use sin(Θ).

Related questions

The components of a vector or what?

The components of a vector are magnitude and direction.


What are the components of a vector?

The components of a vector are magnitude and direction.


When will be the vector projection and vector components are same?

Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .


How do vector components compare in size to the vector from which they came?

That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector


Can a vector have a zero magnitude if all of its components are zero?

If all the components of a vector are zero, the magnitude of the vector will always be zero.


What are vector components?

prrpendicular projections of a vector called component of vector


What is resolution of vector?

decomposition of a vector into its components is called resolution of vector


The components of a vector will be the same no matter what coordinate system is used to express that vector?

No. The components of a vector will change based on what coordinate system is used to express that vector.


Can a vector have a component equal to zero and still have a nonzero magnitude?

Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.


Is it possible for a vector to be zero if its one of the components is zero?

NO, a vector will not be zero if one of its components will be zero.


How many components can a vector have?

A vector can have as many components as you like, depending on how may dimensions it operates in.


Vector quantity will be described numerically or graphically?

it can be described in both. when graphically, it will be represented by an arrow in the direction of the vector and have the magnitude either written by it or you will have the arrow drawn to scale for the magnitude (length) of the arrow. numerically, you can break it down into its x, y, and z components and put them in from of i, j, and k respectively. ex a vector with x component of 3, y component of 2 and z component of 4 can be written as 3i +2j +4k