01/ Put () against the right sentences and (X) against the wrong sentences then correct the errors. ((Note that; the wrong answer will cancel the right answer)) 1. A quantity can be either a scalar or a vector. A scaler has both magnitude and direction while, a vector has only magnitude. 2. The dot product of two vectors A and B, written as AXB, is a vector quantity whose magnitude is the area of the parallelogram formed by A and B and is in the direction of advance of a right-handed screw as A is turned into B.

01/ Put () against the right sentences and (X) against the wrong sentences then correct the errors. ((Note that; the wrong answer will cancel the right answer)) 1. A quantity can be either a scalar or a vector. A scaler has both magnitude and direction while, a vector has only magnitude. 2. The dot product of two vectors A and B, written as AXB, is a vector quantity whose magnitude is the area of the parallelogram formed by A and B and is in the direction of advance of a right-handed screw as A is turned into B.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

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At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point b(4.0m,1.5m,2.5m) to point e(1.0m,4.5in,0.5m) . Find the scalar components of the fly’s displacement vector and express its displacement vector in vector component form. What is its magnitude?
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF . The three displacement vectors A , B , and C in Figure 2.13 are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Assuming the +x -axis is horizontal and points to the tight, resolve the vectors given In the following figure to their scalar components and express them in vector component form.
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
Explain why a vector cannot have a component greater than its own magnitude.
A surveyor measures the distance across a straight river by the following method (Fig. P3.7). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is = 35.0. How wide is the river?
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
Find the angles that vector makes with the and axes.
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
Let a, b, c be three constant vectors drawn from the origin to the points A, B C. What is the distance from the origin to the plane defined by the points A, B C? What is the area of the triangle ABC?