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The 3-dimensional vectors v1, v2, v3 sat...

The 3-dimensional vectors `v_1, v_2, v_3` satisfying `v_1cdotv_1=4, v_1cdotv_2=-2, v_1cdotv_3=6, v_2cdotv_2=2, v_2cdotv_3=-5, v_3cdotv_3=29`, then `v_3` may be

A

`-3hat(i)+2hat(j)pm4hat(k)`

B

`3hat(i)-2hat(j)pm4hat(k)`

C

`-2hat(i)+3hat(j)pm4hat(K)`

D

`2hat(i)+3hat(j)pm4hat(k)`

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...

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  2. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

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  3. The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...

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  4. The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...

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  5. A, B, C and D are four points in space. Using vector methods, prove th...

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  6. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

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  7. The position vectors of points of intersection of three planes rcdotn1...

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  8. A pentagon is formed by cutting a triangular corner from a rectangular...

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  9. In a dimensional coodinate a system P, Q and R are image of a point A(...

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  10. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

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  11. The locus of point which moves in such a way that its distance from th...

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  12. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

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  13. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

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  14. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

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  15. The shortest distance between any two opposite edges of the tetrahedro...

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  16. The angle between the pair of planes represented by equation 2x^2-2y^2...

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  17. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

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  18. The fout lines drawing from the vertices of any tetrahedron to the cen...

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  19. The shorteast distance from (1, 1, 1) to the line of intersection of t...

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  20. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

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