0
A vector a is along the positive z axis and it's vector product with another vector b is zero then vector b could be?
Wiki User
∙ 13y ago
Vector b would be along the z axis, it could have any magnitude.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
If vector A is perpendicular to vector B and C then Vector A is parallel to?
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.
What does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
Is costheta is a vector?
No. Cos theta (Cos θ) is a trigonometric function. A vector is any physical quantity which has both magnitude and direction. For example, Displacement. Displacement has a magnitude like 240m or 0 or 13 m, etc. It also depends on the direction. If an object moves along the positive direction of x-axis, then the displacement will have a positive sign and if it moves along the negative direction of x-axis, then displacement will be negative. Thus, it has both direction and magnitude and so is a vector. Cos theta is a trigonometric function, strictly speaking.
Vector V 1 is 6.6 units long and points along the negative x axis Vector V 2 is 8.5 units long and points at 55 to the positive x axisWhat are the x and y components of vector V 1?
The x component of V1 is -6.6 the y component of V1 is 0.
When should you express a vector along the x axis as a negative vector?
When the arrow representing the vector would point toward negative x.
Which are the three vectors that act along the mutually perpendicular direction?
cross product of tow vector result in a vector which is perpendicular the multiplying vector then these three vector are perpedicular
If vector A is perpendicular to vector B and C then Vector A is parallel to?
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.
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?
opposite direction.
Is a torque vector quantity?
Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.
Find a transformation matrix which aligns a given vector Vabc with the vector K along the positive z axis?
[abc][k] [10] [a,-b] [01] [-c,k]
What are the projections of a vector along the axes of a coordinate system?
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
Cross product is not difine in two space why?
When performing the cross product of two vectors (vector A and vector B), one of the properites of the resultant vector C is that it is perpendicular to both vectors A & B. In two dimensional space, this is not possible, because the resultant vector will be perpendicular to the plane that A & B reside in. Using the (i,j,k) unit vector notation, you could add a 0*k to each vector when doing the cross product, and the resultant vector will have zeros for the i & jcomponents, and only have k components.Two vectors define a plane, and their cross product is always a vector along the normal to that plane, so the three vectors cannot lie in a 2D space which is a plane.
When should you express a vector along the x-axis as a negative vector?
You express a vector along the X-axis as a negative vector when the arrow representing the vector would point toward negative x.
What does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
Why two objects move in opposite direction one will have positive momentum and other negative momentum?
Quite simply, this means that momentum is a vector quantity; the direction is relevant. This is useful, for example, for calculations involving the conservation of momentum. Actually momentum is the product of velocity and mass, and velocity is also a vector quantity - thus, in this example, one object will have a positive velocity (more precisely: a positive component of the velocity along the x-axis, for example), the other, negative. Multiplying this velocity by the mass will also give a quantity which may be positive or negative (or rather, have positive or negative components).
What is linear algebra?
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
Is costheta is a vector?
No. Cos theta (Cos θ) is a trigonometric function. A vector is any physical quantity which has both magnitude and direction. For example, Displacement. Displacement has a magnitude like 240m or 0 or 13 m, etc. It also depends on the direction. If an object moves along the positive direction of x-axis, then the displacement will have a positive sign and if it moves along the negative direction of x-axis, then displacement will be negative. Thus, it has both direction and magnitude and so is a vector. Cos theta is a trigonometric function, strictly speaking.
