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If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+...

If `a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3)`
Q. The position vector of L, the foot of the perpendicular from P on the line `r=a+lambdab` is

A

`6hat(i)+7hat(j)+7hat(k)`

B

`3hat(i)-2hat(j)-2hat(k)`

C

`3hat(i)+5hat(j)+9hat(k)`

D

`9hat(i)+9hat(j)+9hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  2. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  3. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  4. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  5. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

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  6. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

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  7. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

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  8. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

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  9. Expand |(3, 6), (5,0)|

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  10. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

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  11. What is vector equation of the line

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  12. A circle is the locus of a point in a plane such that its distance fro...

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  13. A circle is the locus of a point in a plane such that its distance fro...

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  14. A circle is the locus of a point in a plane such that its distance fro...

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  15. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

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  16. let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find project...

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  17. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines ...

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  18. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines ...

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  19. The line of greatest slope on an inclined plane P1 is the line in the ...

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  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). P...

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