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Are vectors veca and -veca collinear ?...

Are vectors `veca` and `-veca` collinear ?

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Answer the following ad true or false : veca and -veca are collinear.

If vectors veca and vecb are non collinear then veca/(|veca|)+vecb/(|vecb|) is (A) a unit vector (B) in the plane of veca and vecb (C) equally inclined to veca and vecb (D) perpendicular to veca xx vecb

Unit vectors veca and vecb ar perpendicular , and unit vector vecc is inclined at an angle theta to both veca and vecb . If vec c= alpha veca + beta vecb + gamma (veca xx vecb) then.

the angle between vectors veca × vecb and vecb × veca is

Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

Find |veca-vecb| , if two vectors veca and vecb are such that |veca|=2,|vecb|=3 and veca*vecb=4 .

MODERN PUBLICATION-VECTORS-Exercise
  1. Given veca=1/7(2hati+3hatj+6hatk), vecb=1/7(3hati-6hatj+2hatk) , ve...

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  2. If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and...

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  3. Are vectors veca and -veca collinear ?

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  4. Write two different vectors having same magnitude.

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  5. What is the unit vector in the direction of veca=veci+vecj+2veck?

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  6. What is the position vector of the mid-point of the line segment joini...

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  7. The scalar product of two given vectors veca and vecb having angle 'th...

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  8. For mutually perpendicularl unit vectors hati,hatj,hatk, we have : hat...

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  9. What is the value of : hati*(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjx...

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  10. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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  11. Classify the following as vector as scalar : veca*vecb,[vecavecbvecc],...

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  12. What is [vecavecbvecc] when veca,vecb,vecc are coplanar ?

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  13. In /\ABC, which of the following is not true ?

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  14. If veca and vecb are two collinear vectors, then which of the followin...

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  15. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  16. Let lambda be any non-zero scalar. Then for what possible values of x,...

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  17. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  18. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  19. If theta is the angle between two vectors veca and vecb, then veca c...

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  20. Let veca and vecb be two unit vectors and theta is the angle between t...

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