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Find the position vector of a point R which divided the line joining the points whose positive vectors are \( P(\hat i +2\hat j - \hat k ) and Q ( -\hat i + \hat j + \hat k )\) in the ratio 2 : 1. (i) internally (ii) externally.
cbse
class12
modelpaper
2012
sec-b
q20
math
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Jan 4, 2013
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thanvigandhi_1
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votes
0
answers
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are \( \hat i +2\hat j - \hat k \: and \: -\hat i + \hat j + \hat k\) respectively in the ratio 2 : 1 (i) internally (ii) externally
asked
Jan 14, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
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0
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1
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Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are \( \hat i + 2\hat j − \hat k\) and \( – \hat i + \hat j + \hat k\) respectively, in the ratio $2 : 1$ externally
asked
May 20, 2013
by
sreemathi.v
cbse
class12
bookproblem
ch10
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q15
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sec-b
medium
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0
votes
1
answer
Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are \( \hat i + 2\hat j − \hat k\) and \( – \hat i + \hat j + \hat k\) respectively, in the ratio $2 : 1$ internally
asked
Dec 6, 2012
by
thanvigandhi_1
cbse
class12
bookproblem
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q15
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0
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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are \((2\overrightarrow a + \overrightarrow b)\) and \((\overrightarrow a - 3\overrightarrow b)\) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ
asked
Dec 5, 2012
by
thanvigandhi_1
cbse
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0
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1
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P and Q are two points with position vectors $3\overrightarrow{a}-2\overrightarrow{b}$ and $\overrightarrow{a}+\overrightarrow{b}$ respectively.Write the position vector of a point R which divides the line segment PQ in the ratio 2 : 1 externally.
asked
Mar 20, 2013
by
sreemathi.v
cbse
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0
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0
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Show that the points with position vectors are given by \( 2\hat i - \hat j + \hat k, \hat i - 3\hat j - 5\hat k\) and \( 3\hat i - 4\hat j - 4\hat k\) from a right-angled triangle.
asked
Jan 28, 2013
by
thanvigandhi_1
cbse
class12
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2012
sec-b
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0
votes
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Show that four points with position vectors \( 6\hat i - 7\hat j, 19 \hat j - 4\hat k, 3\hat j - 6\hat k \: and \: 2\hat i + 5\hat j + 10\hat k\) are not co-planar.
asked
Dec 31, 2012
by
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cbse
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