Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
If a vector is broken up into components the angle between the components is 90 degrees.
No.
Yes, if it has a non-zero component along some other line - usually, but not necessarily orthogonal.
No, a vector cannot have zero magnitude if one of its components is not zero. The magnitude of a vector is determined by the combination of all its components, so if any component is not zero, the vector will have a non-zero magnitude.
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
No. The answer does assume that "components" are defined in the usual sense - that is, a decomposition of the vector along a set of orthogonal axes.
If a vector is broken up into components the angle between the components is 90 degrees.
Degree zero refers to mathematical objects or functions that have no non-zero terms or components. In the context of polynomials, a degree zero polynomial is simply a constant term. In linear algebra, a vector space can have elements with degree zero, such as the zero vector.
No.
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
There is almost never an "IF". All non-zero vectors have a constant, specified direction. Only a zero-vector has a direction which is unspecified.
No, that's not possible - at least, not with vectors over real numbers. The magnitude of a vector of components a, b, c, d, for example, is the square root of (a2 + b2 + c2 + d2), and as soon as any of those numbers is different from zero, its square, the sum, and the square root of the sum will all be positive. It is not possible (in the real numbers) to compensate this with a negative number, since the square of a real number can only be zero or positive. Another answer: In special relativity we use a metric for vectors different from the Euclidean one mentioned above. If (t, x, y, z) is a 4-vector in Minkowski space the squared "length" is defined as t2 - x2 - y2 - z2. As you can see this can be negative (for spacelike vectors), positive (for timelike vectors) or zero (for null, or lightlike vectors). See related link for more information
Yes, if it has a non-zero component along some other line - usually, but not necessarily orthogonal.
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.