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SURA PUBLICATION-APPLICATIONS OF VECTORA ALGEBRA-ADDITIONAL QUESTIONS ( Choose the Correct or the most suitable answer from the given four alternatives : )
- The area of the parallelogram having diagonals vec(a)=3hat(i)+hat(j)-2...
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- If vec(a),vec(b)andvec(c) are any three vectors, then vec(a)xx(vec(b)x...
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- The volume of the parallelepiped whose sides are given by bar(OA)=2hat...
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- If absvec(a)=absvec(b)=1" such that "vec(a)+2vec(b)and5vec(a)-4vec(b) ...
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- The angle between the vector 3hat(i)+4hat(j)+5hat(k) and the z-axis is
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- A vector vec(OP) makes 60^(@) and 45^(@) with the positive direction o...
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- If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=...
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- If theta is the between the vector vec(a)andvec(b)," then " sintheta i...
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- If the vectors hat(i)+hat(j)+2hat(k),-hat(i)+2hat(k)and2hat(i)+xhat(j)...
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- If vec(a)=absvec(a)vec(e)" then "vec(e).vec(e) is
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- The value of |vec(a)+vec(b)|^(2)+|vec(a)-vec(b)|^(2) is
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- If vec(p)xxvec(q)=2hat(i)+3hat(j),vec(r)xxvec(s)=3hat(j)+2hat(k)," the...
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- If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the...
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- The two planes 3x + 3y - 3z - 1 = 0 and x + y - z + 5 = 0 are
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- The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(...
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- For what value of (vec(a)) will the straight lines (x+2)/(2)=(y)/(-3)=...
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- If [vec(a),vec(b),vec(c)]=3andabsvec(c)=1" then "|(vec(b)xxvec(c))xx(v...
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- If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value ...
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- For any three vectors vec(a),vec(b)andvec(c),(vec(a)+vec(b)).(vec(b)+v...
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- If the vector ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k)andhat(i)+ha...
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