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If the projection of a line segment on the X- axis , Y-axis and Z axis be 12, 4 and 3 respectiveIv, then it’s length will be
- a)19
- b)13
- c)17
- d)none
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the projection of a line segment on the X- axis , Y-axis andZ axis ...
let the given line joins the points P(x1 ,y1, z1 ) and Q(x2 ,y2, z2)
Then since the d.c.'s of x-axis are [1, 0,0]. therefore the projection of PQ on x-axis = 1 (x2 - x1 )
=> x2 - x1 =12
Similarly y2 - y1 = 4
and z2 - z1= 3
Required length r of the line PQ is given by
Then since the d.c.'s of x-axis are [1, 0,0]. therefore the projection of PQ on x-axis = 1 (x2 - x1 )
=> x2 - x1 =12
Similarly y2 - y1 = 4
and z2 - z1= 3
Required length r of the line PQ is given by
Most Upvoted Answer
If the projection of a line segment on the X- axis , Y-axis andZ axis ...
let the given line joins the points P(x1 ,y1, z1 ) and Q(x2 ,y2, z2)
Then since the d.c.'s of x-axis are [1, 0,0]. therefore the projection of PQ on x-axis = 1 (x2 - x1 )
=> x2 - x1 =12
Similarly y2 - y1 = 4
and z2 - z1= 3
Required length r of the line PQ is given by
Then since the d.c.'s of x-axis are [1, 0,0]. therefore the projection of PQ on x-axis = 1 (x2 - x1 )
=> x2 - x1 =12
Similarly y2 - y1 = 4
and z2 - z1= 3
Required length r of the line PQ is given by
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Community Answer
If the projection of a line segment on the X- axis , Y-axis andZ axis ...
Is not possible to determine the length of the line segment solely based on the information given. The projection lengths on the X-axis, Y-axis, and Z-axis only provide information about the components of the line segment along each axis, but they do not give the actual length of the line segment.
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