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Let the vectors vec(PQ),vec(QR),vec(RS),...

Let the vectors `vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU)` and `vec(UP)` represent the sides of a regular hexagon.
Statement I:`vec(PQ) xx (vec(RS) + vec(ST)) ne vec0`
Statement II: `vec(PQ) xx vec(RS) = vec0` and `vec(PQ) xx vec(RS) = vec0` and `vec(PQ) xx vec(ST) ne vec0`
For the following question, choose the correct answer from the codes (A), (B) , (C) and (D) defined as follows:

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The correct Answer is:
b
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If p = a xx (b + c) + b xx (c + a) + c xx (a + b) q = a xx (b xx c) ...

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  2. If a and b are not perpendicular to each other and r xx a = b xx a, r....

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  3. Let the vectors vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU) and vec(UP) ...

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  4. If r satisfies the equation r xx (i+2j+k) = i-k then for any scalar la...

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  5. If a = 2i+j+k, b =i+2j+k,c=2i-3j+4k and r is a vector such that r xx b...

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  6. Given three vectors a,b,c such that b.c = 3 a.c = (1)/(3). The vector ...

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  7. Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...

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  8. If a xx b = c xx d and a xx c = b xxd, then

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  9. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

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  10. u = q-r, r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c). If a,b, c be T(p)...

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  11. In a G.P. T(p) = a, T(q) = b and T(r) = c where a, b, c are +ive then...

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  12. The angle between (vecA xx vec B) and (vecB xx vecA ) is :

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  13. The angle between the vectors 2i+3j+k and 2i-j-k is

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  14. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

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  15. If |a|=2, |b|=5 and |a xx b|=8, then what is a, b equal to ?

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  16. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

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  17. If a^(2) - b^(2)=0, then

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  18. If A =2i + 2j + 3k, B =-i+2j+k and C=3i+j, then A +t B is perpendicula...

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  19. if the vector x i+yj +zk makes an acute angle with the plane of the tw...

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  20. Consider the parallelopiped with sides bar(a)=3bar(i)+2bar(j)+bar(k),b...

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