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The moment about a line through the orig...

The moment about a line through the origin having the direction of 1 12hati -4hatj -3hatk` is

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A force of 39 kg. wt is acting at a point p ( -4,2,5) in the direaction 12hati -4hatj -3hatk . The moment of this force about a line through the origin having the direction of 2hati -2hatj + hatk is

The cartesian equation of a line passing through the point having position vector 2hati +hatj - hatk and parallel to the line passing joining the points -hati + hatj + 4hatk and hati + 2hatj + 2hatk , is

The vector equation of a line passing through the point with position vector 2hati - hatj - 4hatk and is in the direction of hati - 2hatj + hatk is

The equaton of the line in vector and cartesian from that passes through the point with position vector 2 hati - hatj + 4hatk and is in the direction hati + 2 hatj - hatk are

The cartesian form of equation of a line passing through the point with position vector 4hati -hatj +2hatk and is in the direction of -2hati +hatj +hatk ,is

If the equation of the plane through the line of interesection of vecr.(2hati-3hatj+hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati+hatj+hatk)+8=0 is vecr.(5hati-2hatj-12hatk)=lamda Then lamda=

Find the vector equations of the line passing through the point having positions vector -hati -hatj +2hatk and parallel to the line overset(-) r = ( hati+ 2hatj + 3hatk ) +mu (3hati + 2hatj +hatk) , mu is a parameter .

Find the vector equation of a line which passes through the point with position vector 4hati - hatj + 2 hatk and is in the direction of - 2 hati + hatj + hatk .

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The moment about a line through the origin having the direction of 1 1...

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  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

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  3. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

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  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

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  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

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  6. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  7. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

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  8. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

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  9. Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...

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  10. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

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  11. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  12. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

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  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

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  14. The edges of a parallelopiped are of unit length and are parallel to ...

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  15. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  16. Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...

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  17. The number of distinct real values of lambda, for which the vectors -l...

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  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

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  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

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  20. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

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  21. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

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