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Is it possible to add a vector quantity?
No, you cannot directly add two vector quantities unless they are of the same type (e.g., both displacement vectors or velocity vectors). Otherwise, vector addition requires breaking down the vectors into their components and adding corresponding components together.
What is the sum of 2 vectors?
To find the sum of two vectors, you add their corresponding components together. For example, if you have two vectors A = (3, 5) and B = (2, -1), the sum would be A + B = (3 + 2, 5 + (-1)) = (5, 4).
How are vectors subtracted?
To subtract vectors, you can simply reverse the direction of the vector you are subtracting (by multiplying it by -1) and then add it to the original vector using vector addition. This process results in the difference vector, which represents the vector between the two initial vectors.
What should be the angle between 2 vectors a?
The angle between two vectors a and b can be found using the dot product formula: a · b = |a| |b| cos(theta), where theta is the angle between the two vectors. Rearranging the formula, we can solve for theta: theta = arccos((a · b) / (|a| |b|)).
Is it possible to combine 2 equal vectors to give a zero resultant?
With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
Is it possible to add a vector quantity?
No, you cannot directly add two vector quantities unless they are of the same type (e.g., both displacement vectors or velocity vectors). Otherwise, vector addition requires breaking down the vectors into their components and adding corresponding components together.
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.
Is it possible to add three vectors of equal magnitudes and get zero?
Of course it is! for example, [1, √3] + [-2, 0] + [1, - √3 ] = [0, 0]. Like this example, all other sets of such vectors will form an equilateral triangle on the graph.. Actually connecting the endpoints of the 3 vectors forms the equilateral triangle. The vectors are actually 120° apart.
What is the sum of 2 vectors?
To find the sum of two vectors, you add their corresponding components together. For example, if you have two vectors A = (3, 5) and B = (2, -1), the sum would be A + B = (3 + 2, 5 + (-1)) = (5, 4).
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
Can the resultant magnitude of 2 vectors be smaller than either of the vectors?
Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.
Can three parallel vectors of uneven magnitude add to zero?
Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0
How you can add the vectors?
1) Graphically. Move one of the vectors (without rotating it) so that its tail coincides with the head of the other vector. 2) Analytically (mathematically), by adding components. For example, in two dimensions, separate each vector into an x-component and a y-component, and add the components of the different vectors.
Can the sum of magnitudes of two vectors ever be equal to the magnitude of the sum of these two vectors?
Sure, if the two vectors point in the same direction.When we need the sum of magnitudes of two vectors we simply add the magnitudes, but to get the magnitude of the sum of these two vectors we need to add the vectors geometrically.Formula to find magnitude of the sum of these two vectors is sqrt[ |A|2 +|B|2 +2*|A|*|B|*cos(z) ] where |A| and |B| are magnitudes of two A and B vectors, and z is the angle between the two vectors.Clearly, magnitude of sum of two vectors is less than sum of magnitudes(|A| + |B|) for all cases except when cos(z)=1(for which it becomes = |A| + |B| ). Cos(z)=1 when z=0, i.e. the vectors are in the same direction(angle between them is 0).Also if we consider addition of two null vectors then their sum is zero in both ways of addition.So, we get two caseswhen the two vectors are in same direction, andwhen the two vectors are null vectors.In all other cases sum of magnitudes is greater than magnitude of the sum of two vectors.
How are vectors subtracted?
To subtract vectors, you can simply reverse the direction of the vector you are subtracting (by multiplying it by -1) and then add it to the original vector using vector addition. This process results in the difference vector, which represents the vector between the two initial vectors.
What should be the angle between 2 vectors a?
The angle between two vectors a and b can be found using the dot product formula: a · b = |a| |b| cos(theta), where theta is the angle between the two vectors. Rearranging the formula, we can solve for theta: theta = arccos((a · b) / (|a| |b|)).
The resultant between 2 vectors can be found by placing the vectors?
ma0!
