Exam 3: Vectors

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Starting from one oasis, a camel walks 25 km in a direction 30° south of west and then walks 30 km toward the north to a second oasis. What is the direction from the first oasis to the second oasis?

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Two vectors starting at the same origin have equal and opposite x components. Is it possible for the two vectors to be perpendicular to each other? Justify your answer.

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If two collinear vectors If two collinear vectors   and   are added, the resultant has a magnitude equal to 4.0. If   is subtracted from   , the resultant has a magnitude equal to 8.0. What is the magnitude of   ? and If two collinear vectors   and   are added, the resultant has a magnitude equal to 4.0. If   is subtracted from   , the resultant has a magnitude equal to 8.0. What is the magnitude of   ? are added, the resultant has a magnitude equal to 4.0. If If two collinear vectors   and   are added, the resultant has a magnitude equal to 4.0. If   is subtracted from   , the resultant has a magnitude equal to 8.0. What is the magnitude of   ? is subtracted from If two collinear vectors   and   are added, the resultant has a magnitude equal to 4.0. If   is subtracted from   , the resultant has a magnitude equal to 8.0. What is the magnitude of   ? , the resultant has a magnitude equal to 8.0. What is the magnitude of If two collinear vectors   and   are added, the resultant has a magnitude equal to 4.0. If   is subtracted from   , the resultant has a magnitude equal to 8.0. What is the magnitude of   ? ?

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If If   = [10 m, 30°] and   = [25 m, 130°], what is the direction of the sum of these two vectors? = [10 m, 30°] and If   = [10 m, 30°] and   = [25 m, 130°], what is the direction of the sum of these two vectors? = [25 m, 130°], what is the direction of the sum of these two vectors?

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What two vectors are each the same magnitude as and perpendicular to What two vectors are each the same magnitude as and perpendicular to   ? ?

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Instructions: On occasion, the notation Instructions: On occasion, the notation   = [A, θ] will be a shorthand notation for   . Exhibit 3-2 A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally opposite corner. The original corner is the coordinate origin, and the x, y and z axes are oriented along the jungle gym edges. The length of each side is 2 m.   Use this exhibit to answer the following question(s). -Refer to Exhibit 3-2. What is the child's distance from her starting position? = [A, θ] will be a shorthand notation for Instructions: On occasion, the notation   = [A, θ] will be a shorthand notation for   . Exhibit 3-2 A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally opposite corner. The original corner is the coordinate origin, and the x, y and z axes are oriented along the jungle gym edges. The length of each side is 2 m.   Use this exhibit to answer the following question(s). -Refer to Exhibit 3-2. What is the child's distance from her starting position? . Exhibit 3-2 A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally opposite corner. The original corner is the coordinate origin, and the x, y and z axes are oriented along the jungle gym edges. The length of each side is 2 m. Instructions: On occasion, the notation   = [A, θ] will be a shorthand notation for   . Exhibit 3-2 A child starts at one corner of a cubical jungle gym in a playground and climbs up to the diagonally opposite corner. The original corner is the coordinate origin, and the x, y and z axes are oriented along the jungle gym edges. The length of each side is 2 m.   Use this exhibit to answer the following question(s). -Refer to Exhibit 3-2. What is the child's distance from her starting position? Use this exhibit to answer the following question(s). -Refer to Exhibit 3-2. What is the child's distance from her starting position?

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A vector A vector   is added to   . The resultant vector is in the positive x direction and has a magnitude equal to that of   . What is the direction of   ? is added to A vector   is added to   . The resultant vector is in the positive x direction and has a magnitude equal to that of   . What is the direction of   ? . The resultant vector is in the positive x direction and has a magnitude equal to that of A vector   is added to   . The resultant vector is in the positive x direction and has a magnitude equal to that of   . What is the direction of   ? . What is the direction of A vector   is added to   . The resultant vector is in the positive x direction and has a magnitude equal to that of   . What is the direction of   ? ?

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