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What else can I help you with?
1 1 Check whether the following set of vectors is LD or LI?
(i) They are linearly dependent since the 2nd vector is twice the 1st vector. All 3 vectors lie in the x-z plane, so they don't span 3D space. (ii) They are linearly independent. Note that the cross-product of the first two is (-1,1,1). If the third vector is not perpendicular to the above cross-product, then the third vector does not lie in the plane defined by the first two vectors. (-1,1,1) "dot" (1,1,-1) = -1+1-1 = -1, not zero, so 3rd vector is not perpendicular to the cross product of the other two.
What is called when two lines are not in the same plane and do not intersect?
I believe this is possibly called a vector. They begin at the same point, however, they do not run on the same plane, nor do the intersect. As I said, they do begin at the same point and form a triangle.
What is binormal plane?
A binormal plane is the straight line passing through a point M0 of a curve L perpendicular to the oscillating plane to L at M0. If r=r(t) is a parameterization of L, then the vector equation of the binormal at M0 corresponding to the value of t0 to the parameter of t has the form.
How do you graph a vector in component form?
Select two axes in a 2-d plane along which you want the vector components (3 axes in 3-d and so on). The axes must meet at a point, but need not be perpendicular.In 2-d, draw a parallelogram so that its diagonal is the given vector and the adjacent sides are parallel to the axes. These adjacent sides will represent the components of the vector.If the axes are at right angles and the vector Vmakes an angle t with the positive horizontal axis, thenhorizontal component = V*costandvertical component = V*sint
What is the rule for rotating figures?
To rotate a point in the coordinate plane which is represented by the column vector( x )( y )through an angle t, anticlockwise, you need to pre-multiply it by the matrix[ cos(t) -sin(t) ][ sin(t) cos(t) ].
What is difference between sessile dislocation and glissile dislocation?
Sessile dislocations are immobile and fixed within a crystal lattice, while glissile dislocations are able to move and propagate through the crystal lattice. Sessile dislocations do not affect material deformations significantly, while glissile dislocations can cause plastic deformation by moving and breaking bonds in the lattice.
Distinguish between sessile dislocation and glissile dislocation?
A sessiledislocation has a Burger's Vector that does not lie in the primary slip plane of the crystal, so it is immobile offering an obstacle to the movement of other dislocations.A glissile dislocation has Burger's Vector that does not lie in the primary slip plane of the crystal and thus is able to move in that plane.Dislocation that can move by pure slip are called Glissle.Dislocation which cannot glide, but have to move by some form of mass transport are called sessile.In crystals, the dislocation core spreads to certain crystallographic planes containing the dislocation line. If the core spreads into one of such planes, the core is planer and is glissile.If the core spreads into several non-parallel planes of the zone of dislocation line, it is non-planar and sessile. In the former case dislocation moves easily in the plane of the core spreading, while in the later case, it moves only with difficulty. Shockley partial is a partial dislocation, the Burger vector of which lies in the plane of the fault. Then, Shockley partials are glissile. A Frank partial is a partial dislocation, the Burgers vector of which is not parallel to the fault. Then, Frank partials are sessile.
What is an epitaxial junction?
it has burger vector which lie in interface plane not parallel to dislocation line..
What is the difference between edge and screw dislocations?
Edge dislocations occur when an extra half-plane of atoms is inserted into the crystal lattice, resulting in a step-like structure, whereas screw dislocations involve shear distortion of the crystal lattice, with the atoms moving along a dislocation line in a spiral fashion. Edge dislocations have a greater impact on the crystal's mechanical properties, such as strength, while screw dislocations are more significant in terms of deformation and plasticity.
What is a vector which is orthogonal to the other vectors and is coplanar with the other vectors called?
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
How to find orthogonal vector?
Given one vector a, any vector that satisfies a.b=0 is orthogonal to it. That is a set of vectors defining a plane orthogonal to the original vector.The set of vectors defines a plane to which the original vector a is the 'normal'.
What are the Examples of a vector quantity?
Some examples of a vector quantity would be a car or a plane.
Ten vectors addtogether to give zero resultant it is possible that nine of this vectors are in the same plane but the tenth not on this plane?
No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.
What is the eqution for x component in a vector?
x = V times (cos A ) where V = vector magnitude and A = angle of vector to the x plane
What are principal planes in antenna wave propagation?
The principal plane in wave propagation is the E-plane and the H-plane of an antenna. The E-plane consists of the electric field vector, and by convention, it's the direction in which the wave is said to be 'polarized'. The H-plane consists of magnetic field vector of the wave. The electric field vector and the magnetic field vector are perpendicular to each other, and the direction in which the wave propagates (moves) is perpendicular to both of them.
What is vorticity vector?
The vorticity vector is DelxV = v/r sin(RV)H1, the Curl of the vector V. The unit vector H1, is perpendicular to the plane formed by the radius vector R and and the vector V.
How do you determine if -y x is a two dimensional vector or not?
(-y, x) is generally a point in the Cartesian plane - not a vector nor a scalar. You can have a vector going from any point in the plane to the point (-y, x) but that is not the same thing.
