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A vector vecr is inclined at equal angle...

A vector `vecr` is inclined at equal angles to the three axes. If the magnitude of `vecr` is `2sqrt3` units, then find the value of `vecr`.

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To find the vector \(\vec{r}\) that is inclined at equal angles to the three axes and has a magnitude of \(2\sqrt{3}\) units, we will follow these steps: ### Step 1: Understand the Direction Cosines Since the vector \(\vec{r}\) is inclined at equal angles to the three axes, the direction cosines \(l\), \(m\), and \(n\) are equal. This means: \[ l = m = n \] ...
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NCERT EXEMPLAR ENGLISH-VECTOR ALGEBRA-OBJECTIVE TPYE QUESTIONS
  1. A vector vecr is inclined at equal angles to the three axes. If the ma...

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  2. The vector in the direction of the vector hati-2hatj+2hatk that has ma...

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  3. The position vector of the point which divides the join of points 2vec...

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  4. The vector having initial and terminal points as (2, 5, 0) and (-3,7,4...

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  5. The angle between two vectors vecaandvecb with magnitudes sqrt3 and 4,...

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  6. Find the value of lamda such that the vectors veca=2hati+lamdahatj+hat...

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  7. The value of lamda for which the vectors 3hati-6hatj+hatkand2hati-4hat...

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  8. Find the area of triangle formed by the vectors from origin to the poi...

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  9. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

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  10. If |veca|=10,|vecb|=2andveca.vecb=12, then the value of |vecaxxvecb| i...

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  11. The vectors lamdahati+hatj+2hatk,hati+lamdahatj-hatkand2hati-hatj+lamd...

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  12. If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0, then ...

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  13. The projection vector of veca" on "vecb is

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  14. If veca,vecbandvecc are three vectors such that veca+vecb+vecc=0and|ve...

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  15. If |veca|=4and-3lelamdale2, then the range of |lamdaveca| is

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  16. The number of vectors of unit length perpendicular to the vectors veca...

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  17. The vector veca+vecb bisects the angle between the non-collinear vecto...

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  18. If vecr.veca=0,vecr.vecb=0andvecr.vecc=0 for some non-zero vector vecr...

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  19. The vectors veca=3hati-2hatj+2hatkandvecb=-hati-2hatk are the adjacent...

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  20. The values of k, for which |k" "veca|lt|veca| andkveca+(1)/(2)veca is ...

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  21. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is….. .

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