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Find the area of triangle formed by the vectors from origin to the points A and B are `veca=2hati-3hatj+2hatkandvecb=2hati+3hatj+hatk`

A

340

B

`sqrt25`

C

`sqrt229`

D

`(1)/(2)sqrt229`

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AI Generated Solution

To find the area of the triangle formed by the vectors from the origin to the points A and B, we can follow these steps: ### Step 1: Identify the Vectors We are given two vectors: - \(\vec{a} = 2\hat{i} - 3\hat{j} + 2\hat{k}\) - \(\vec{b} = 2\hat{i} + 3\hat{j} + \hat{k}\) ### Step 2: Area of Triangle Formula ...
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NCERT EXEMPLAR ENGLISH-VECTOR ALGEBRA-OBJECTIVE TPYE QUESTIONS
  1. Find the value of lamda such that the vectors veca=2hati+lamdahatj+hat...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If |vecaxxvecb|^(2)+|veca.vecb|^(2)=144and|veca|=4,"then "|vecb| is eq...

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  18. If veca is any non-zero vector, then (veca.hati)hati+(veca.hatj)hatj+(...

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  19. State true or false: If |veca|=|vecb|, then necessarily it implies vec...

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  20. State true or false: Position vector of a point vecP is a vector whose...

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