a)
Yes
. It can have a Y-component of zero and a non-zero x-component, which will equal to a nonzero magnitude. Therefore, a vector can have zero component, but still have a nonzero magnitude.
Can a vector have non zero magnitude of a component is zero if no why not if yes give an example can a vector have zero magnitude and a nonzero component if no why not if yes give an example?
A vector with zero magnitude cannot have non-zero components . Because magnitude of given vector ˉ
V=√V2x+V2y
must be zero . This is possible only when V2x and V2y are zero.
Can a vector of magnitude have non zero components?
A vector with
zero magnitude cannot have non-zero components
. Because magnitude of given vector ˉV=√V2x+V2y must be zero . This is possible only when V2x and V2y are zero.
Does a zero vector have zero magnitude?
The zero vector (
vector where all values are 0
) has a magnitude of 0, but all other vectors have a positive magnitude.
Why can a vector have a component equal to zero and still have a non zero magnitude?
Can a vector have a component equal to zero and still have nonzero magnitude? …
No
, because another component of the vector will be zero too. Yes, if it points along the y-axis. No, because it will be a zero vector.
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
.
What is null vector and unit vector?
A vector having zero magnitude (arbitrary direction) is called the null (zero) vector. The zero vector is unique. For eg:- A point have no magnitude and an arbitrary direction. Unit vector is
a vector of unit length
. If u is a unit vector, then it is denoted by u^ and ∣u^∣=1.
Is 0 linearly independent?
A basis must be linearly independent; as seen in part (a),
a set containing the zero vector is not linearly independent
.
What does a zero vector mean?
: a vector which is
of zero length and all of whose components are zero
.
Are all zero vectors equal?
, is a vector of length 0, and thus has
all components equal to zero
. It is the additive identity of the additive group of vectors.
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.
Which term is not a vector?
Answer:
Speed
is not a vector quantity. It has only magnitude and no direction and hence it is a scalar quantity.
Is height a vector or scalar?
Scalars
are physical quantities represented by a single number and no direction. Vectors are physical quantities that require both magnitude and direction. Examples of scalars include height, mass, area, and volume. Examples of vectors include displacement, velocity, and acceleration.
What happens if a cross product is 0?
Answer: If the cross product of two vectors is zero it means
both are parallel to each other
. Answer: If the cross product of two vectors is 0, it implies that the vectors are parallel to each other.
What if the dot product is 0?
The dot product of a vector with itself is the square of its magnitude. … The dot product of a vector with the
zero vector is zero
. Two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero.
Why is a cross a 0?
Answer. So the answer to your question is that the cross product of two parallel vectors is 0
because the rejection of a vector from a parallel vector is 0 and hence has length 0
.
