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When is the vector sum of two quatities equal in magnitude to the scalar sum?
Wiki User
∙ 11y ago
When all the vectors have the same direction.
Wiki User
∙ 11y ago
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How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
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.
Why vector divided by scalar is equal to vector?
It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
What is it called when a scalar and a vector are multiplied together?
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
What is the difference between scalar and vector products of two vectors?
The scalar product (dot product) of two vectors results in a scalar quantity, representing the magnitude of the projection of one vector onto the other. The vector product (cross product) of two vectors results in a vector quantity that is perpendicular to the plane formed by the two input vectors, with a magnitude equal to the area of the parallelogram they span.
What is the relation between magnitude of distance and displacement?
The magnitude of the displacement is always less than or equal to the magnitude of the distance traveled. Distance is a scalar quantity that measures the total path length traveled, while displacement is a vector quantity that measures the change in position from the initial point to the final point. If there is no change in direction, the magnitude of displacement is equal to the distance traveled.
Is the magnitude of instantaneous velocity always equal to the instantaneous speed?
Because speed is the magnitude of the velocity vector. The velocity consists of the speed and the direction, and the whole thing can be embodied in a 3D vector. If you like the velocity is the magnitude (the speed), which is a scalar (just a real number), multiplied by a unit vector in the right direction.
Is mass classified as a vector quantity or a scalar quantity?
Mass is a scalar quantity, because it is a constant value no matter where you are, no matter what direction you are heading. Your mass on Earth will be equal to than on Jupitor or in space in general, the weight is the one that changes. (vector)
How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
What is vector and scalar quantities?
A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of vector quantities.A scalar quantity is a quantity that has magnitude, but no direction. Time, mass, volume, and speed are examples of scalar quantities.
When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
When does distance traveled equal the magnitude of displacement vector?
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
Vector component greater than the vectors magnitude?
A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.
