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If Vector B is added to Vector A, the result is 6i+j. If B is subtracted from A, the result of -4i+7j. What is the magnitude of A?
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What else can I help you with?
Can a vector with the magnitude of 2 be added to a vector with a magnitude of 3?
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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 vector quantity be divided and multiplied?
Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.
Why vector quantities cannot be added and subtracted like scalar quantities?
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Why is angular displacement a vector quantity?
Angular displacement is a vector quantity because it has both magnitude and direction. The direction of angular displacement is determined by the axis of rotation and follows the right-hand rule, while the magnitude is given by the angle of rotation. As a vector, angular displacement can be added, subtracted, and resolved into components, making it useful in calculations that involve rotational motion.
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 magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?
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Can scalar and vector quantities added by the same method?
No, scalar quantities are added algebraically (numerically), whereas vector quantities are added by vector addition (considering both magnitude and direction). Scalars have only magnitude, while vectors have both magnitude and direction.
Is volt a vector quantity?
no volt is not a vector quantity because it has no direction and it can be added or subtracted as scalar quantities. volt in electrostatics is analogous to vertical height in mechanics . vertical height have a value for every place but no direction and height can be added or subtracted as scalar
How vectors quantities be represented graphically?
They can be represented by a line made with a #2 pencil. The length of the line is made proportional to the magnitude of the vector, and some kind of identifying mark is made on or near one end of the line to show the direction of the vector.
Can a vector be added to a scalar?
No- vector ad scalar are two different things. Scalar consists only of magnitude, whereas vector consists both magnitude and direction.
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
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