What is the x component of the vector?
The scalar x-component of a vector can be expressed as the product of its magnitude with the cosine of its direction angle, and the scalar y-component can be expressed as the product of its magnitude with the sine of its direction angle. In a plane, there are two equivalent coordinate systems.
What is the sum of two vectors called?
The resultant is the vector sum of two or more vectors. If two or more velocity vectors are added, then the result is a resultant velocity.
What is the sum of two vectors maximum and minimum?
for maximum; angle between two vectors must be 0 degree… for minimum; angle between two vectors needs to be 180 degree..
What is a vector formula?
The magnitude of a vector →PQ is the distance between the initial point P and the end point Q . In symbols the magnitude of →PQ is written as | →PQ | . If the coordinates of the initial point and the end point of a vector is given, the Distance Formula can be used to find its magnitude. | →PQ |=√(x2−x1)2+(y2−y1)2.
Is it possible to add two vectors?
Answer: No, we cannot add two vectors representing physical quantities of different dimensions. However, we can multiply two vectors representing physical quantities with different dimensions.
Can 3 unequal vectors add to zero?
Since a scalene triangle exists, three unequal vectors can add up to zero. The conditions for three vectors to form a triangle are: The sum of magnitudes of any two of them must be greater than the magnitude of third. magnitude of sum of two vectors must be equal to the magnitude of third.
Is vector sum of i and Ja unit vector?
No Their sum has a magnitude of √2 so obviously it is not a unit vector.
Can two vectors of different magnitudes add to zero?
Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero. Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.
Are vectors equal?
When are Two Vectors Equal? Two or more vectors are equal when they have the same length, and they point in the same direction. Any two or more vectors will be equal if they are collinear, codirected, and have the same magnitude. If two vectors are equal, their column vectors will also be equal.
Can 2 similar vectors of different magnitude yield a zero resultant can 3 yield?
No, two vectors of different magnitudes can not give zero resultant. Three vectors can give zero resultant but two vectors can not. This is because the effect of vectors cancels out only when they act in the opposite direction and have the same magnitude.
Can three vectors lying in a plane give zero resultant?
The resultant of the two vectors lie in the same plane. Hence, three vectors in single plane cannot give the resultant zero. For the resultant of three vectors to be zero, resultant of two should be equal and opposite to the third.
Can resultant of three vectors be zero?
Three vectors are coplanar which means all three vectors are in the same plane. If direction of resultant of those two vectors is exactly opposite to the direction of the third vector. If all above conditions are satisfied, then the resultant of three vectors will be zero.
Can four vectors not lying in a plane give zero resultant?
But when we take four vectors which are not in same plane their rectangular components cancels each other therefore their resultant is zero.
Can three non planar vectors give zero resultant Why?
Answer. First we take two vectors , the resultant of the these two vectors is equal in magnitude of the third vector but directed in opposite direction. But when these three vectors are not in the same plane , when we resolve their rectangular component, they do not cancel each other therefore resultant is not zero.
What is the angle between two vectors whose vector product is zero?
180°
What are non coplanar vectors?
Similarly, a finite number of vectors are said to be non-coplanar if they do not lie on the same plane or on the parallel planes. In this case we cannot draw a single plane parallel to all of them. Theorem: If and be any three non-zero and non-coplanar space vectors such that then x = y = z = 0.
Can three or more unequal coplanar vectors have a zero sum?
Answer. Minimum number of unequal coplanar forces whose vector sum can be equal to zero is 3. Hope it helps!
Can the resultant of two unequal forces be equal to zero?
Yes , two unequal vectors can have zero resultant.
What is the minimum number of unequal vectors that can give zero?
three
What lengths are needed for three vectors to have a vector sum of zero?
What length restrictions are required for three vectors to have a vector sum of zero? Explain your reasoning. No The required length restriction for three vectors is the sum of the lengths of any two of them must be greater than the third one. This is referred to as the triangle inequality.
Can you nd two vectors with different lengths that have a vector sum of zero?
If the two vectors have different lengths, then the vector sum is not equal to zero. Because the length of a vector represents its magnitude. So, if two vectors have different magnitudes and if the vectors can sum up to not equal to zero. Therefore, No, we cannot sum two vectors with different lengths.
Does it make sense to say that a vector is negative Why?
Yes, it makes sense to say that a vector is negative.
Can you find a vector quantity that has a magnitude of zero?
Simply , no the vector cannot have magnitude of zero but if its component are non zero. This case holds good in case of rectangular components of vector. But in the case of non rectangular components the vector can have magnitude of zero even though its components are different from zero.
Can vector components be zero?
Yes, a vector can have a component equal to zero and still have a nonzero magnitude.
Can a vector have zero magnitude if one of its component is not zero?
Answer. No, a vector cannot have zero magnitude if one of its components is not zero.
Can the magnitude of a vector be less than its components?
-A vector can have positive or negative magnitudes. -The magnitude of a vector cannot be zero unless all of its components are zero. -A vector’s magnitude cannot be less than the sum of the magnitude of its components.