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The magnitude of the vector ijk6i^+2j^+3k^ is ______. - Mathematics

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प्रश्न

The magnitude of the vector `6hat"i" + 2hat"j" + 3hat"k"` is ______.

विकल्प

  • 5

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  • 12

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MCQ
रिक्त स्थान भरें

उत्तर

The magnitude of the vector `6hat"i" + 2hat"j" + 3hat"k"` is 7.

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Magnitude and Direction of a Vector
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Vector Algebra - Solved Examples [पृष्ठ २११]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 10 Vector Algebra
Solved Examples | Q 10 | पृष्ठ २११

संबंधित प्रश्न

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Find the magnitude of two vectors `veca and vecb`, having the same magnitude and such that the angle between them is 60° and their scalar product is `1/2`.


Find a vector of magnitude 5 units, and parallel to the resultant of the vectors `veca = 2i + 3hatj - hatk` and `vecb = hati - 2hatj + hatk`.


If `veca, vecb, vecc` are mutually perpendicular vectors of equal magnitudes, show that the vector `veca +  vecb+ vecc` is equally inclined to `veca, vecb` and `vecc`.


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If the sum of two unit vectors is a unit vector prove that the magnitude of their difference is `sqrt(3)`.


If \[\vec{a} = \hat{i} + \hat{j} + \hat{k} , \vec{b} = 4 \hat{i} - 2 \hat{j} + 3 \hat{k} \text { and } \vec{c} = \hat{i} - 2 \hat{j} + \hat{k} ,\] find a vector of magnitude 6 units which is parallel to the vector \[2 \vec{a} - \vec{b} + 3 \vec{c .}\]


Find a vector \[\vec{r}\] of magnitude \[3\sqrt{2}\] units which makes an angle of \[\frac{\pi}{4}\] and \[\frac{\pi}{4}\] with y and z-axes respectively. 


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Write a vector in the direction of vector \[5 \hat{i} - \hat{j} + 2 \hat{k}\] which has magnitude of 8 unit.


Find a vector \[\overrightarrow{a}\] of magnitude \[5\sqrt{2}\], making an angle of \[\frac{\pi}{4}\] with x-axis, \[\frac{\pi}{2}\] with y-axis and an acute angle θ with z-axis. 


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Find a vector of magnitude 6, which is perpendicular to both the vectors `2hat"i" - hat"j" + 2hat"k"` and `4hat"i" - hat"j" + 3hat"k"`.


Prove that in any triangle ABC, cos A = `("b"^2 + "c"^2 - "a"^2)/(2"bc")`, where a, b, c are the magnitudes of the sides opposite to the vertices A, B, C, respectively.


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Teams A, B, C went for playing a tug of war game. Teams A, B, C have attached a rope to a metal ring and is trying to pull the ring into their own area.

Team A pulls with force F1 = `6hati + 0hatj  kN`,

Team B pulls with force F2 = `-4hati + 4hatj  kN`,

Team C pulls with force F3 = `-3hati - 3hatj  kN`,

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    OR
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