7
3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.
7
Vectors are added graphically tip to tail. You subtract vector B from vector A by adding vector -B to vector A. Where -B means a vector that points in the opposite direction as B , but has same magnitude. For example to subtract B (magnitude 4, points left) from vector A (magnitude 3, points up), first draw A, then draw -B (magnitude 4, points right) ,starting -B at the tip of A. Then the vector that connects the tail of A to the tip of -B is the difference A - B or A + (-B) . In this example A & -B form the legs 3 & 4 of a right triangle so the hypotenuse (which is A - B) is 5.
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
5
It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.
3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.
Scalar quantities are added algebraically. But vector quantities are added using vector addition. If 3 and 4 are added only 7 is the result. If two vectors with magnitude 3 and 4 are added there will be different results such as 7, 1, 5, etc etc. 7 will be the answer if both the vectors are in the same direction. 1 will be the answer if both are in opposite direction 5 will be the answer if both act perpendicular to each other. Other innumerable answers are possible as both vectors act with different angles of inclination.
7
7
A scalar quantity added to a vector quantity is a complex quantity. An example is a complex number z = a + ib, a is the scalar and ib is the vector quantity.If the vector quantity is 3 dimensional, ib + jc + kd, then the scalar and vector forms a quaternion quantity.
Vectors are added graphically tip to tail. You subtract vector B from vector A by adding vector -B to vector A. Where -B means a vector that points in the opposite direction as B , but has same magnitude. For example to subtract B (magnitude 4, points left) from vector A (magnitude 3, points up), first draw A, then draw -B (magnitude 4, points right) ,starting -B at the tip of A. Then the vector that connects the tail of A to the tip of -B is the difference A - B or A + (-B) . In this example A & -B form the legs 3 & 4 of a right triangle so the hypotenuse (which is A - B) is 5.
The three parts of a vector quantity are magnitude, direction, and orientation. Magnitude refers to the size or length of the vector, direction indicates the line along which the vector acts, and orientation specifies the starting point of the vector.
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
The magnitude of the vector 3i + 4j is given by the formula |v| = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the magnitude of the vector is 5.
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]