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it is placed at the tip of the first vector

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7y ago
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7y ago

The name of the method basically says it all. You connect the tail of one vector with the tip of the previously-placed vector.

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Q: Where is the second vector's tail placed when two vectors are added graphically using the tip to tail method?
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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


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How do you prove using a diagram that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitude of the two vectors?

You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.


How can you add vectors?

we can add vectors by head to tail rule.THe head of first vector to the tell of second vector.And for the resultant vector we can add the tail of first vector to the head of second vector. we can add more than three vectors to give a resultant is equal to zero by joining head to tail rule as to form polygan .


Why will the second method of determining volume work for all objects?

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In the figure there are two vectors. The first vector magnitude is (8 m ) directed east, and the second vector magnitude is (5 m) directed west.What is the sum of the two vectors?

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What is the resultant force if the first force has an upward vector and the second force has a downward vector?

If the two vectors are directly opposite each other, then subtract the smaller one from the larger one and that will be your resultant force. For example, if the force downwards is 5 N and the force upwards is 2 N, the resultant force is 3 N downwards. If the one or both of the two vectors are angled, you need to replace the angled vectors with two right-angled vectors and then add those to create the resultant vectors.


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Ten vectors together add to give a zero resultant it is possible that nine of these vectors are on the same plane but the tenth is not on this plane?

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Can two vectors of unequal magnitude add up to give the zero vector?

No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.


What are the ways of determining the resultant vector?

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