The components of
a vector can never have a magnitude greater than the vector itself
. This can be seen by using Pythagorean's Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector. e.g. A=2x + 0y.
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
.
Can any of the component of a given vector have a greater magnitude than that of the vector itself?
The components of a
vector can never have a magnitude greater than the vector itself
. This can be seen by using Pythagorean's Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector. e.g. A=2x + 0y.
Can a component of a vector ever be longer than the total vector itself?
Q3: Calculate the magnitude and angles of each vector. … The components of
a vector can never have a magnitude greater than the vector itself
. This can be seen by using Pythagorean's Thereom.
Do vector components have magnitude?
A vector quantity has two characteristics,
a magnitude and a direction
. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. … The direction will be measured by an angle phi relative to a coordinate axis x. The coordinate axis y is perpendicular to x.
Can a vector have zero magnitude if one of its components is zero?
No
, a vector can be zero if all components are zero.
What is the dot product of the unit vector i and i?
Definition. We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors
is zero
.
Can a component of a vector be negative?
Vectors are only negative with respect to another vector
. … The magnitude, or length, of a vector, cannot be negative; it can be either be zero or positive. The negative sign is used here to indicate that the vector has the opposite direction of the reference vector.
Are 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 a magnitude of a vector have a negative value?
Answer:
Magnitude cannot be negative
. It is the length of the vector which does not have a direction (positive or negative). … The zero vector (vector where all values are 0) has a magnitude of 0, but all other vectors have a positive magnitude.
What is magnitude formula?
The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. … For a two-dimensional vector a=(a1,a2), the formula for its magnitude is
∥a∥=√a21+a22.
What is a vector formula?
The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. … For a two-dimensional vector a=(a1,a2), the formula for its magnitude is
∥a∥=√a21+a22
.
What is axial vector give example?
An example of an axial vector is the vector product
Can a nonzero vector have a zero?
A
nonzero vector can have a zero component
. Any non zero vector along y- axis has a zero component on x- axis. Chapter 3, Problem 10CQ is solved.
Will the cross product of two vectors be zero?
If two vectors have the same direction or have the exact opposite direction from each other (that is, they are not linearly independent), or if
either one has zero length, then their cross product is zero
.
Can a vector have zero component?
Yes
, a vector can have zero components along a line and still have a nonzero magnitude. Example: Consider a two dimensional vector 2 i ^ + 0 j ^ . This vector has zero components along a line lying along the Y-axis and a nonzero component along the X-axis.
