1.92 Vector A has magnitude 6.00 m and vector B has magni- tude 3.00 m. The vector product between these two vectors has magnitude 12.0 m². What are the two possible values for the scalar product of these two vectors? For each value of A B, draw a sketch that shows A and B and explain why the vector products in the two sketches are the same but the scalar products differ. Rin TL +18.0 2 I e

1.92 Vector A has magnitude 6.00 m and vector B has magni- tude 3.00 m. The vector product between these two vectors has magnitude 12.0 m². What are the two possible values for the scalar product of these two vectors? For each value of A B, draw a sketch that shows A and B and explain why the vector products in the two sketches are the same but the scalar products differ. Rin TL +18.0 2 I e

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section6.3: The Scalar Product Of Two Vectors

Problem 6.3QQ: Which of the following statements is true about the relationship between the dot product of two...

See similar textbooks

Similar questions

Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .
What is the dot product of a vector with the cross product that this vector has with another vector?
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
Find the angles that vector makes with the and axes.
Check Your Understanding Given two vectors and , find (a) (b) (c) the angle between and , and (d) the angle between and vector .
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
1. The vector a has a magnitude of 5.00 units and the vector ba magnitude of 7.00 units. If the angle between the vectors is 53.00, find their scalar product or dot product.
The vector product of two vectors has maximum value, if the angle between them is 90º Select one: True False
(H.W) We consider the vector: Ā = 3î + j + 2k (a) Find the length of A Ans. V14 (b) Find the scalar product of the vector = 21 withA Ans.6 (c) Find the cross product Ax č. Ans.4j-2k (d) Form the vector Ã.C. Ans. i +j + 2k
6. Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors make an angle of 50.0° with cach other. Find A B. Note: In Problems 7 and 8, calculate numerical answers to three significant figures as usual. 7. Find the scalar product of the vectors in Figure P7.7. 118 32.8 N 132° 17.3 cm Figure P7.7 8. Using the definition of the scalar product, find the angles between (a) A = 3i-2j and B = 4i-4j. (b) A= -2i + 4j and B= 3i- 4j + 2k, and (c) A=i-2j + 2k and B = 3j + 4k. SECTION 7.4 Work Done by a Varying Force 9. A particle is subject to a force F that varies with position as shown in Figure P7.9. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x= 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x= 0 tox= 15.0 m: 7, (N) X (m) 121 10 12 14 16 Figure P7.9 Problems 9 andl 22.
(H.W) We consider the vector: Ā = 3î + j + 2k (a) Find the length of A Ans. V14 (b) Find the scalar product of the vector = 21 withA Ans.6 (c) Find the cross product Ax č. Ans.4j- 2k (d) Form the vectorA.C. Ans. ¡ +j + 2k
wo vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is: A⨯B = -1.1 m i + 9.7 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A⨯B| = AB sin(θ) Note: Bold face letters represents a vector.