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If bar(a) = bar(i) + 2bar(j)-3bar(k), ba...

If `bar(a) = bar(i) + 2bar(j)-3bar(k), bar(b) = 3bar(i)-bar(j)+2bar(k)` then S.T `bar(a)+bar(b), bar(a)-bar(b)` are perpendicular.

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If bar(a)=bar(i)+2bar(j)-3bar(k),bar(b)=2bar(i)+3bar(j)+bar(k) then Show that bar(a)+bar(b),bar(a)-bar(b) are perpendicular .

If bar(a)=bar(i)+2bar(j)-3bar(k)and bar(b)=3bar(i)-bar(j)+2bar(k) , then show that bar(a)+bar(b)and bar(a)-bar(b) are and perpendicular to each other .

If bar(OP)=2bar(i)+3bar(j)-bar(k), bar(OQ)=3bar(i)-4bar(j)+2bar(k) then d.c's of bar(PQ) are

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) - 5bar(k) then find |bar(a) xx bar(b)| .

If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + 2bar(k) then find bar(a) xx bar(b) and unit vector perpendicular to both bar(a), bar(b) [-26bar(i) - 9bar(j) + 5bar(k), +- 1/(sqrt(782))26bar(i)+9bar(j)-5bar(k)) .

If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2bar(k) then find the angle between 2bar(a)+bar(b) and bar(a) + 2bar(b) .

Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) -bar(3j)-5bar(k) and bar(c ) = 3bar(i) - 4bar(j) -4bar(k) are coplanar.

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. If bar(a) = bar(i) + 2bar(j)-3bar(k), bar(b) = 3bar(i)-bar(j)+2bar(k) ...

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  2. Find the circumcentre of the triangle whose vertices are (1,3) (-3,5) ...

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  3. Find the orthocentre of the triangle formed by the vertices (-2,-1),(6...

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  4. Find the orthocentre of the triangle whose sides are 7x+y-10=0, x-2y+5...

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  5. Find the circumcentre of the triangle whose sides are given by x+y=0, ...

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  6. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

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  7. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

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  8. Find the centroid and the area of the triangle formed by the lines 12x...

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  9. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  10. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  11. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  12. Find the angle between the lines joining the origin to the points of i...

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  13. Find the value if k , if the lines joining the origin with the points ...

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  14. Show that the lines joining the origin with the points of intersection...

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  15. Find the condition for the chord lx + my=1 of the circle x^(2)+y^(2)=a...

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  16. Find the angle between the lines whose d.c's are related by l + m + n ...

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  17. Find the direction cosines of the two lines which are connected by the...

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  18. Find the angle between the lines, whose direction cosines are given by...

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  19. If a line makes angles alpha, beta, lambda,delta with the four diagon...

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  20. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

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  21. Find the derivative of (sinx)^(log x)+x^(sinx).

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