Chapter 03, Concept Question 09
If Vector F = q(vector V x vector B) and vector V is perpendicular to vector B, then what is the direction of vector B in the three situations shown in the figure?
(a) Situation (1), q positive:
(b) Situation (1), q negative:
(c) Situation (2), q positive:
(d) Situation (2), q negative:
(e) Situation (3), q positive:
(f) Situation (3), q negative:
Chapter 03, Concept Question 10
The figure shows vector A and four other vectors that have the same magnitude but differ in orientation.
(a) Which pairs of those other four vectors have the same dot product with vector A?
(b) Which of those other four vectors have a negative dot product with vector A?
Chapter 03, Concept Question 11
In a game held within a threedimensional maze, you must move your game piece from start, at xyz coordinates (0, 0, 0), to finish, at coordinates (-2 cm, 4 cm, -4 cm). The game piece can undergo only the displacements (in centimeters) given below. If, along the way, the game piece lands at coordinates (-5 cm, -1 cm,-1 cm) or (5 cm, 2 cm,-1 cm), you lose the game. Which displacements and in what sequence will get your game piece to finish?
The x and y components of four vectors a,b,c, and d are given below. For which vectors will your calculator give you the correct angle θ when you use it to find θ with tanθ =ay/ax? Answer first by examining the figure below, and then check your answers with your calculator.
|ax = 3||ay = 3||cx = -3||cy= -3|
|bx = -3||by = 3||dx = 3||dy = -3|
Chapter 03, Concept Question 13
Which of the following are correct (meaningful) vector expressions?