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No. The magnitude of a vector can't be less than any component.
What else can I help you with?
Can a vector be zero if one of its component is not zero?
No, for a vector to be zero, all of its components must be zero. If only one component is not zero, then the vector itself cannot be zero.
Can a vector have zero magnitude if one of its component is not zero?
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.
Can a vector be zero if one of its component is zero?
No never
If one of the rectangular component of a vector is not zero can its magnitude be zero?
No.
Can a vector have zero magnitude if one of its component is non zero?
No.
Can the component of a non-zero vector be zero?
Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.
Can the magnitude of a vector be equal to one of its components?
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.
Can two vectors having different magnitude be combined to give a vector sum of zero?
Yes, two vectors with different magnitudes can be combined to give a vector sum of zero if they are in opposite directions and their magnitudes are appropriately chosen. The magnitude of one vector must be equal to the magnitude of the other vector, but in the opposite direction, to result in a vector sum of zero.
If one of the rectangular components of a vector is not zero can its magnitude be zero Explain?
No, if one of the rectangular components of a vector is not zero, the magnitude of the vector cannot be zero. The magnitude of a vector is calculated using the Pythagorean theorem, which involves all its components. Therefore, if at least one component has a non-zero value, the overall magnitude will also be non-zero.
If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?
If one component of vector A is zero along the direction of vector B, it means the two vectors are orthogonal or perpendicular to each other. Their directions would be such that they are at a right angle to each other.
Can the magnitude of a vector be less than magnitudes both of components?
The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.
It is possible for a vector to be zero if a component of the vector is not zero?
No. The value of a vector is determined by the square root of the sum of its components squared. Value= Sqrt(x^2 + y^2 + z^2). The components of real vectors are real numbers and the square of a real number is a positive number. The sum of a positive and zeros is not zero but a positive. Vectors were created by William Rowan Hamilton in 1843 when he created Quaternions. Quaternions consist of a real number and three vector numbers. The vectors are designated by i, j, k where i^2=j^2=k^2=ijk= -1. The square of a vector is a negative one . This used to be called an imaginary number. The components of vectors are real numbers, like v=2i + 3j -5k, the value of v = sqrt(4 + 9 + 25)=sqrt(38). Complex numbers are a subset of quaternions involving one vector "i".
