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Find the condition that veca=xhati+yhatj...

Find the condition that `veca=xhati+yhatj and vecb=yhati+xhatj (because x,yne0)` are parallel.

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The correct Answer is:
`x^(2)=y^(2)`
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Fill in the blanks : If veca=xhati+2hatj-3hatk and vecb=3hati+bhatj-9hatk are parallel then x=_(.........)

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Find |veca X vecb| ,if veca=hati-7hatj+7hatk and vecb=3hati-2hatj+2hatk

Find the values of x,y and z so that the vectors : veca=xhati+2hatj+zhatk and vecy=2hati+yhatj+hatk are equal.

If veca=2hati+3hatj and vecb=3hati+4hatj . Find the magnitude of veca+vecb .

If veca = hati + hatj+hatk, vecb = 2hati-hatj+3hatk and vecc = hati-2hatj+hatk , find a unit vector parallel to the vector 2veca - vecb + 3vecc

If veca=5hati+hatj-4hatk, vecb=2hati-3hatj+hatk and vecc=hati+3hatj-2hatk then find a unit vector parallel to the vector 2veca+vecb+3vecc .

Find x for which the angle between the vectors veca=2x^2hati+4xhatj+hatk and vecb=7hati-2hatj+xhatk is obtuse.

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  2. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  3. Write a vector of magnitude 9 units in the direction of vector -2hati+...

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  4. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

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  5. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  6. Find the direction cosines of the vector -2hati+hatj-5hatk.

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  7. Show that the direction cosines of a vector equally inclined to the ax...

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  8. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  9. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

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  10. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

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  11. Find the direction cosine of the line joining the points (1,0,0) and (...

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  12. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

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  13. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  14. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

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  15. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

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  16. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  17. Find the position vector of mid point of the line segment AB where A i...

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  18. Find the position vector of a point R which divides the line joining t...

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  19. Find the position vector of a point R which divides the line joining t...

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  20. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

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