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C. 15 kilometers D. 30 m/s
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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.
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.
Why is the dot product scalar?
Because only the magnitudes are multiplied.
The components of a vector or what?
The components of a vector are magnitude and direction.
Ask us of the following could not be vector magnitudes?
Temperature, time, and density could not be vector magnitudes as they do not have a direction associated with them. Vector magnitudes represent quantities that have both a size and a direction, such as velocity or force.
Which of the following could not be vector magnitudes?
Scalp temperature, amount of rain, and time elapsed are examples of quantities that cannot be vector magnitudes because they only have a magnitude and no direction associated with them.
Which of the following values could possibly be vector magnitudes meaning that combined with a direction they could become vector quanities?
6 miles5 meters30 kilometers/hourappexx30 kilometers/hour5 meters6 miles
What could be vector magnitudes?
Some examples of vector magnitudes include speed velocity, acceleration, force, displacement, and momentum.
What could not be vector magnitudes?
Vector magnitudes cannot represent physical quantities that are directionless, such as temperature or time. Scalars are used to represent these types of quantities.
Can the magnitude of the resultant of two vector be greater than the sum of magnitudes of indivisual vector?
No.
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
Why vector quantities cannot be added and subtracted like scaler quantities?
Vector quantities have both magnitude and direction, so when adding or subtracting them, both the magnitudes and directions must be considered. Scalars, on the other hand, only have magnitudes and can be added or subtracted without concern for direction. This is why vector addition and subtraction involve vector algebra to handle both the magnitudes and directions appropriately.
Can a vector have zero magnitudes if one of its component is not zero?
No. The magnitude of a vector can't be less than any component.
What is the resultant of two vectors in the opposite direction?
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
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.
How do the magnitudes of their momenta compare?
The magnitudes of momenta are equal since momentum is a vector quantity, determined by both magnitude and direction. If the direction of the momenta are different, the magnitudes will depend on the angle between them.
