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What is the resultant of a 3 unit vector and 4 unit vector at right angles to each other?
The multiplicative resultant is a three unit vector composed of a vector parallel to the 3 unit vector and a vector parallel to the product of the 3 unit and 4 unit vectors. R = (w4 + v4)(0 +v3) = (w40 - v4.v3) + (w4v3 + 0v4 + v4xv3) R = (0 - 0) + w4v3 + v4xv3 as v4.v3 =0 ( right angles or perpendicular)
What is the physical significance of null vectors?
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
What is the resultant of a 30 unit and 60 unit vector inclined to each other at 60 degrees?
Suppose the 30 unit vector is acting horizontally. Then the 60 unit vector has a horizontal component of 60*cos(60) units and a vertical component of 60*sin(60) units. So total horizontal = 30 + 60*cos(60) = 60 units total vertical = 60*sin(60)= 51.96 units. Then magnitude of resultant = sqrt(602 + 51.962) = sqrt(6300) = 79.37 units (approx). And direction = tan-1(51.96/60) = 40.89 degrees (from the 30 unit vector).
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.
Direction of vector in space is specified by?
It is an integral part of the vector and so is specified by the vector.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Is the vector (I j k) a unit vector?
No, the vector (I j k) is not a unit vector. In the context of unit vectors, a unit vector has a magnitude of 1. The vector (I j k) does not have a magnitude of 1.
Why A unit vector is a vector but a vector is not a unit vector?
A unit vector is one which has a magnitude of 1 and is often indicated by putting a hat (or circumflex) on top of the vector symbol, for example: Unit Vector = â, â = 1.The quantity â is read as "a hat" or "a unit".
Why a unit vector is aone type of vector but a vector is not a unit vector?
A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.
Define the unit vector?
The unit vector is a vector whose magnitude is 1.
Can you add three unit vector to get a unit vector?
Yes.
When was Vector Unit created?
Vector Unit was created in 2007.
If a vector quantity is divided by its magnitude the vector obtained is called?
The vector obtained by dividing a vector by its magnitude is called a unit vector. Unit vectors have a magnitude of 1 and represent only the direction of the original vector.
What is unit vector in physics?
a vector having unit magnitude and have a certain direction.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
What is a unit vector in mathematics?
A vector of magnitude 1.
If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
