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If the sum of two unit vectors is a unit vector, show that the magnitude of their difference is \( \sqrt 3\)
cbse
class12
modelpaper
2012
sec-b
q20
math
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Dec 25, 2012
by
thanvigandhi_1
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Show that each of the given three vectors is a unit vector. \( \frac{1}{7} (2\hat i + 3\hat j + 6\hat k), \frac{1}{7} (3\hat i - 6\hat j + 2\hat k), \frac{1}{7} (6\hat i + 2\hat j - 36\hat k). \)Also, show that they are mutually perpendicular to each other.
asked
Feb 2, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
votes
0
answers
Show that each of the given three vectors is a unit vector : $\large \frac{1}{7}$$ (2\hat i + 3\hat j + 6\hat k),\large\frac{1}{7} $$(3\hat i - 6\hat j + 2\hat k),\large\frac{1}{7} $$(6\hat i + 2\hat j - 3\hat k)$ (Also show that they are mutually perpendicular to each other).
asked
Jan 9, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
votes
0
answers
The scalar product of the vector \( \hat i + 2\hat j + 4\hat k \) with a unit vector along the sum of vectors \( \hat i + 2\hat j + 3\hat k \) and \( \lambda \hat i + 4\hat j - 5\hat k \) is equal to one. Find the value of \( \lambda \).
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
votes
0
answers
Find the magnitude of two vectors $ \overrightarrow a \: and \overrightarrow b $ having the same magnitude and such that the angle between them is $ 60^{\circ} $ and their scalar product is $\large\frac{1}{2}$.
asked
Jan 11, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
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0
answers
Find a vector in the direction of vectors \( 5\hat i - \hat j + 2\hat k\) which has magnitude 8 units.
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
votes
0
answers
Find a vector of magnitude 15 which is perpendicular to both the vectors \( 4\hat i - \hat j + 8\hat k \) and \( - \hat j + \hat k\)
asked
Jan 27, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
0
votes
0
answers
Let \( \overrightarrow a = \hat i + \hat j,\overrightarrow b = \hat i - \hat j \: and \: \overrightarrow c = \hat i + 2\hat j + 3\hat k,\) if \( n \) is unit vector such that \( \overrightarrow a.\overrightarrow n=0 \: and \: \overrightarrow b.\overrightarrow n=0,\) then show that \( \overrightarrow c.\overrightarrow n=3.\)
asked
Jan 28, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q20
math
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