If vector B → is added to vector A → , which two of the following choices must be true for the resultant vector to be equal to zero? (a) A → and B → are parallel and in the same direction. (b) A → and B → are parallel and in opposite directions. (c) A → and B → have the same magnitude. (d) A → and B → are perpendicular.
If vector B → is added to vector A → , which two of the following choices must be true for the resultant vector to be equal to zero? (a) A → and B → are parallel and in the same direction. (b) A → and B → are parallel and in opposite directions. (c) A → and B → have the same magnitude. (d) A → and B → are perpendicular.
If vector
B
→
is added to vector
A
→
, which two of the following choices must be true for the resultant vector to be equal to zero? (a)
A
→
and
B
→
are parallel and in the same direction. (b)
A
→
and
B
→
are parallel and in opposite directions. (c)
A
→
and
B
→
have the same magnitude. (d)
A
→
and
B
→
are perpendicular.
Three vectors V₁, V2, V3 originate from a single point. The vector v₁ is on the x-y plane, at an
angle of 30deg counter-clockwise from the positive x axis and has a magnitude of 500 units. The
vector v₂ is on the y-z plane at an angle counter-clockwise from the positive y axis such than
tan 0= 3/4 and has a magnitude of 400 units. Vector V3 has a magnitude of 800 units. If the
direction of the resultant vector is defined by the unit vector Ug = cos 30º j + sin 30º k.
(A) Determine the coordinate angles of v3.
(B) Determine the magnitude of resultant vector. Report results in three significant figures.
Two vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?
Which of the following is a property of a vector?
O It is invariant to neither translation nor rotation of coordinates.
O It is invariant to translation and rotation of coordinates.
O None of the given choices.
O It is invariant to translation but not rotation of coordinates.
O It is invariant to rotation but not translation of coordinates.
Chapter 3 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Essential University Physics: Volume 2 (3rd Edition)
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