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How do you subtract vectors?

Updated: 4/28/2022
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13y ago

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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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Q: How do you subtract vectors?
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Why can't we add or subtract vectors like scalars?

Because scalars do not take in the direction but just the magnitude while vectors can. You can add vectors ONLY if they are in the same direction.


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If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?

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Graphically: By laying them head-to-tail (move one of the vectors without rotatint it, so that its tail coincides with the head of the other vector). Algebraically: Separate each vector into components, e.g. in 2 dimensions, separate it into components along the x-axis and along the y-axis. Add those components. To subtract, just add the opposite vector.


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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In order to subtract (or add vectors), you must define your frame of reference. Vectors have magnitude and direction. so they are define on an x, y, and z axis. Once the vector is referenece by it's x-y-z components (either positive or negative), then you add/subtract them just like any other number. example v1= 3x + 5y + 5z and v2=2x+3y + 2z so, V1-V2= (3-2)x + (5-3)y + (5-2)z, which reduces to x+2y+3z


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It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).


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Two vectors: no. Three vectors: yes.


Can velocity vectors be combined with force vectors?

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