1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. (OP)x= (OP)y= cm (OP) = (OP)y= cm 30° 30° X (b) Calculate the projections of OP along the x' and y' directions. cm ✔cm

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Chapter2: Vectors
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Problem 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...
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(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP
using OP=√(OP)²+(OP₁) ².
OP =
cm
(d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP
using
OP = √√(OP)² + (OP)²
OP =
cm
(e) What can you conclude about the magnitude of a vector with respect to rotated coordinate
axes?
The magnitude of the vectors using components in different coordinate axes that are
rotated with respect to each other
◆ change.
Transcribed Image Text:(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP₁) ². OP = cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP = √√(OP)² + (OP)² OP = cm (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other ◆ change.
1.
The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y
and x'-y', are shown. Express OP in terms of its x and y components in each set of axes.
(a) Calculate the projections of OP along the x and y directions.
(OP),=
(OP),=
cm
(OP)x=
(OP), =
cm
30°
30°
t
(b) Calculate the projections of OP along the x' and y' directions.
cm
cm
Transcribed Image Text:1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. (OP),= (OP),= cm (OP)x= (OP), = cm 30° 30° t (b) Calculate the projections of OP along the x' and y' directions. cm cm
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