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If a=2hati+2hatj-hatk and |xveca|=1, the...

If `a=2hati+2hatj-hatk and |xveca|=1`, then find x.

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The correct Answer is:
`+-(1)/(3)`
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If a=hati+hatj+hatk and b=hati-hatj , then vectors ((a*hati)hati+(a*hatj)hatj+(a*hatk)hatk),{(b*hati)hati+(bhatj)hatj+(b*hatk)hatk} and( hati+hatj-2hatk)

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

Find the magnitude of the vector vecaxxvecb id : veca=2hati+hatj+hatk and vecb=hati-2hatj+hatk .

If veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk , then find |\vecaxxvecb| .

If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4hatk , then find the projection of (vecb+vecc) on veca .

Find a vector perpendicular to both : veca=3hati-2hatj+hatk and vecb=hati+4hatj-hatk .

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : (vecb_1xxvecb_2)*(veca_2-veca_1)

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : vecb_1xxvecb_2

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : veca_1xxveca_2

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

ARIHANT MATHS-VECTOR ALGEBRA-Exercise For Session 2
  1. If a=2hati-hatj+2hatk and b=-hati+hatj-hatk, then find a+b. Also, find...

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  2. Find a unit vector in the direction of the resultant of the vectors (h...

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  3. Find the direction cosines of the resultant of the vectors (hati+hatj+...

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  4. In a regular hexagon ABCDEF, AB=a,BC=b and CD=c. Then,vec(AE) is equa...

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  5. Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB...

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  6. In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(...

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  7. ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(...

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  8. find the area of square whose side is 25 cm.

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  9. If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms ...

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  10. If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the mod...

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  11. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  12. If a=2hati+2hatj-hatk and |xveca|=1, then find x.

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  13. If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk, then find the magnitude...

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  14. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

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  15. If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk, then find a vector in t...

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

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  17. If the position vector of one end of the line segment AB be 2hati+3hat...

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