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Find the vector joining the points P(2, ...

Find the vector joining the points `P(2, 3, 0)`and `Q( 1, 2, 4)`directed from P to Q.

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To find the vector joining the points \( P(2, 3, 0) \) and \( Q(1, 2, 4) \) directed from \( P \) to \( Q \), we can follow these steps: ### Step 1: Define the position vectors Let \( \vec{OP} \) be the position vector of point \( P \) and \( \vec{OQ} \) be the position vector of point \( Q \). \[ \vec{OP} = 2\hat{i} + 3\hat{j} + 0\hat{k} \] ...
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NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
  1. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat...

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  2. Consider two points P and Q with position vectors vec( O P)=3 vec( a)...

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  3. Find the vector joining the points P(2, 3, 0)and Q( 1, 2, 4)directed...

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  4. Find the unit vector in the direction of the sum of the vectors, vec...

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  5. Write the direction ratios of the vector -> a= hat i+ hat j-2 hat ...

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  6. Represent graphically a displacement of 40 km, 30owest of south.

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  7. Classify the following measures as scalars and vectors.(i) 5 seconds...

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  8. In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) C...

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  9. Find the values of x, y and z so that the vectors vec a=x hat i+2 hat...

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  10. Let vec a= hat i+2 hat jand vecb=2 hat i+ hat j. Is | vec a|=| vec b...

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  11. Find unit vector in the direction of vector vec a=2 hat i+3 hat j+ ha...

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  12. Find a vector in the direction of vector vec a= hat i-2 hat jthat has...

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  13. If with reference to the right handed system of mutually perpendicula...

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  14. Find | vec a xx vec b|,if vec a=2 hat i+ hat j+3 hat k and vec b=3 h...

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  15. Find a unit vector perpendicular to each of the vectors ( veca+ vecb)...

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  16. For any two vectors vec a and vec b, we always have |vec a+ vec b|<=|v...

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  17. Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 h...

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  18. Write all the unit vectors in X Y-p l a n edot

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  19. If hat i+ hat j+ hat k ,2 hat i+5 hat j ,3 hat i+2 hat j-3 hat kand ...

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  20. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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