Displacement problem with unit vectors
In a meeting of mimes, mime 1 goes through a displacement d1 = (7.07 m)i + (3.94 m)j and and mime 2 goes through a displacement d2 = (-7.03 m)i + (4.1 m)j. What are (a)|d1 × d2|, (b)d1 · d2, (c)(d1 + d2) · d2, and (d) the component of d1 along the direction of d2?
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tn a meeting of mimes, mime i goes through a displacement d6.22m)i +4.43m +) 2,and (d)...
tn a meeting of mimes, mime i goes through a displacement d6.22m)i +4.43m +) 2,and (d) the component of 1 along the direction of 2? and and mime 2 goes through a displacement d248 (7.2m. What are (a) dx d(b) di - d2. (c) Te:3 Give your answers in standard SI units.
In a meeting of mimes, mime 1 goes through a displacement d1 2.31 m 6.28 m...
In a meeting of mimes, mime 1 goes through a displacement d1 2.31 m 6.28 m and and mime 2 goes through a displacement d2 = 4.51 m | (6.4 m |j . What are (a) |d 1 x d 2| , (b) d 1-d 2 , (c) (titd).d2. and(d)theco pone tof d1 alongthedirectionofd2 ? Give your answers in standard SI units. (a) Numder (b) Number (e) Number( (d) Number Unit Unit Unit Unit
d1-7.98 m 2.37 m and and mime 2 goes through a displacement 2-3.97 m 4.7 m...
d1-7.98 m 2.37 m and and mime 2 goes through a displacement 2-3.97 m 4.7 m . what are | (a) |d î × d21 . (b) d1.d2,(c) Give your answers in standard SI units (di + d 2).d2.and (d) the compo ert of d1 along the direction of d21 (a) N (b) Numbe (c) N d) N
Displacement D1 is in the yz plane 58.8o from the positive direction of the y axis,...
Displacement D1 is in the yz plane 58.8o from the positive direction of the y axis, has a positive z component, and has a magnitude of 4.34 m. Displacement D2 is in the xz plane 27.2o from the positive direction of the x axis, has a positivezcomponent, and has magnitude 2.23 m. What are (a) Dot product of D1 and D2 (b) the x component of D1 x D2 , (c) the y component of , (d) the z component...
Displacement 1 is in the yz plane 65.4 ° from the positive direction of the y...
Displacement 1 is in the yz plane 65.4 ° from the positive direction of the y axis, has a positive z component, and has a magnitude of 5.31 m. Displacement d2 is in the xz plane 38.3 ° from the positive direction of the x axis, has a positive z component, and has magnitude 2.23 m. What are (a) did2 . (b) the x component of dixd2 .(e) they component of dixd2 , (d) the z component of dix d2...
1. 2. 3. (a) In unit-vector notation, what is the sum of a - ! 3.4...
1.
2.
3.
(a) In unit-vector notation, what is the sum of a - ! 3.4 m ji + 2.1 m |j and b-Ί-14.0 m i + 17.9 m |j . what are (b) the magnitude and (c) the direction of a + b (relative to i )? (a) Number Units (b) Number Units (c) Number Units The two vectors a and b in the figure have equal magnitudes of 11.9 m and the angles are θ,-30° and θ2-1060. Find...
A1. For problem 21.57, write a formula for the position vector of the electron as a...
A1. For problem 21.57, write a formula for the position vector
of the electron as a function of time,
r⃗(t)r→(t), using unit vector ("i-hat"
and "j-hat") notation. Assume the electron starts at the origin of
your coordinate system at t = 0, so
r0→=0iˆ+0jˆ.
(Hint: Use equation 3-13b from the textbook.)
--- Hint
57. (II) An electron has an initial velocity o (8.0 x 10m/s)i /s)j It enters a region where E (2.0i +8.0j) x 10*N/C (a) Determine the vector...
A football player runs the pattern given in the drawing by the three displacement vectors A,...
A football player runs the
pattern given in the drawing by the three displacement vectors A,
B, and C. The magnitudes of these vectors are A = 5 m, B = 12.0 m,
and C = 21.0 m. Using the component method, find the direction θ of
the resultant vector A + B + C. (Assume that up along the screen is
the positive y-axis and that right is the positive x-axis.)
A football player runs the pattern given in the drawing by the three displacement vectors ,...
A football player runs the
pattern given in the drawing by the three displacement vectors , ,
and . The magnitudes of these vectors are A = 5 m, B = 12.0 m, and
C = 25.0 m. Using the component method, find the magnitude and
direction θ of the resultant vector + + . (Assume that up along the
screen is the positive y-axis and that right is the positive
x-axis.)
magnitude ? m
degrees ? direction below the...
Consider the three displacement vectors A - (-i-3j) mB - (7m and C-5j m. Use the...
Consider the three displacement vectors A - (-i-3j) mB - (7m and C-5j m. Use the component method to determine the following. (Take the tx direction to be to the right.) (a) the magnitude and direction of the vector D-A B C direction counterclockwise from the x axis (b) the magnitude and direction of E - A B+C magnitude direction o counterclockwise from the x axis (c) A vector has an x component of -24.0 units and a y component...
tn a meeting of mimes, mime i goes through a displacement d6.22m)i +4.43m +) 2,and (d) the component of 1 along the direction of 2? and and mime 2 goes through a displacement d248 (7.2m. What are (a) dx d(b) di - d2. (c) Te:3 Give your answers in standard SI units.
In a meeting of mimes, mime 1 goes through a displacement d1 2.31 m 6.28 m and and mime 2 goes through a displacement d2 = 4.51 m | (6.4 m |j . What are (a) |d 1 x d 2| , (b) d 1-d 2 , (c) (titd).d2. and(d)theco pone tof d1 alongthedirectionofd2 ? Give your answers in standard SI units. (a) Numder (b) Number (e) Number( (d) Number Unit Unit Unit Unit
d1-7.98 m 2.37 m and and mime 2 goes through a displacement 2-3.97 m 4.7 m . what are | (a) |d î × d21 . (b) d1.d2,(c) Give your answers in standard SI units (di + d 2).d2.and (d) the compo ert of d1 along the direction of d21 (a) N (b) Numbe (c) N d) N
Displacement 1 is in the yz plane 65.4 ° from the positive direction of the y axis, has a positive z component, and has a magnitude of 5.31 m. Displacement d2 is in the xz plane 38.3 ° from the positive direction of the x axis, has a positive z component, and has magnitude 2.23 m. What are (a) did2 . (b) the x component of dixd2 .(e) they component of dixd2 , (d) the z component of dix d2...
1.
2.
3.
(a) In unit-vector notation, what is the sum of a - ! 3.4 m ji + 2.1 m |j and b-Ί-14.0 m i + 17.9 m |j . what are (b) the magnitude and (c) the direction of a + b (relative to i )? (a) Number Units (b) Number Units (c) Number Units The two vectors a and b in the figure have equal magnitudes of 11.9 m and the angles are θ,-30° and θ2-1060. Find...
A1. For problem 21.57, write a formula for the position vector
of the electron as a function of time,
r⃗(t)r→(t), using unit vector ("i-hat"
and "j-hat") notation. Assume the electron starts at the origin of
your coordinate system at t = 0, so
r0→=0iˆ+0jˆ.
(Hint: Use equation 3-13b from the textbook.)
--- Hint
57. (II) An electron has an initial velocity o (8.0 x 10m/s)i /s)j It enters a region where E (2.0i +8.0j) x 10*N/C (a) Determine the vector...
A football player runs the
pattern given in the drawing by the three displacement vectors A,
B, and C. The magnitudes of these vectors are A = 5 m, B = 12.0 m,
and C = 21.0 m. Using the component method, find the direction θ of
the resultant vector A + B + C. (Assume that up along the screen is
the positive y-axis and that right is the positive x-axis.)
A football player runs the
pattern given in the drawing by the three displacement vectors , ,
and . The magnitudes of these vectors are A = 5 m, B = 12.0 m, and
C = 25.0 m. Using the component method, find the magnitude and
direction θ of the resultant vector + + . (Assume that up along the
screen is the positive y-axis and that right is the positive
x-axis.)
magnitude ? m
degrees ? direction below the...
Consider the three displacement vectors A - (-i-3j) mB - (7m and C-5j m. Use the component method to determine the following. (Take the tx direction to be to the right.) (a) the magnitude and direction of the vector D-A B C direction counterclockwise from the x axis (b) the magnitude and direction of E - A B+C magnitude direction o counterclockwise from the x axis (c) A vector has an x component of -24.0 units and a y component...
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