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Identify the magnitude and direction of a vector. Explain the effect of multiplying a vector quantity by a scalar. Describe how one-dimensional vector quantities are added or subtracted.
- Introduction
1.7 Solving Problems in Physics As noted in the figure...
- Introduction
1. Draw the components of each vector in the following diagrams. Then calculate the length of each component. a) b) 23° 2. For each of the following, draw the given vectors tip to tail, draw the resultant vector including angle, then calculate the magnitude and direction of the resultant vector. a) I travel 17m West, then 14m South.
Vectors are often described as a magnitude with a direction, but they could also be thought of as a set of magnitudes in the directions of the coordinate axes.
Let xˆ be a vector of unit magnitude pointing in the positive x-direction, yˆ, a vector of unit magnitude in the positive y -direction, and z ˆ a vector of unit magnitude in the positive z - direction.
Figure 1.3: (a) Finding the direction of A × B. Fingers of the right hand sweep from A to B in the shortest and least painful way. The extended thumb points in the direction of C. (b) Vectors A, B and C. The magnitude of C is C = AB sinφ. The vector product of a and b can be computed from the components of these vectors by:
An online calculator to calculate the magnitude and direction of a vector from it components. Let v be a vector given in component form by. v = < v 1 , v 2 >. The magnitude || v || of vector v is given by. || v || = √ (v 1 2 + v 2 2 ) and the direction of vector v is angle θ in standard position such that. tan (θ) = v 2 / v 1 such that 0 ...
Short Answer. Expert verified. Answer: The magnitude of -5A + B is approximately 445.7, and its direction is approximately 86.6 degrees counterclockwise from the positive x-axis. Step by step solution. 01. Find the resultant vector. To find the resultant vector, we first need to multiply A → by -5 and then add it to B →.
