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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
- If the points with position vectors 60bar(i)+3bar(j), 40bar(i)-8bar(j)...
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- The points 2bar(a)+3bar(b)+bar(c), bar(a)+bar(b), 6bar(a)+11bar(b)+5ba...
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- i) If bar(a), bar(b), bar(c) are non coplanar vectors, then prove that...
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- If bar(a), bar(b), bar(c) are non coplanar then the vectors bar(a)-2ba...
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- The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+ba...
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- Let bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k) and bar(c)=alphabar(a)+...
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- The number of distinct real values of lambda for which the vectors -la...
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- If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=4bar(i)+3bar(j)+4bar(k), bar(c)...
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- If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(...
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- If the points A(bar(a)), B(bar(b)), C(bar(c)) satisfy the relation 3ba...
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- If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zba...
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- If bar(r)=3bar(i)+2bar(j)-5bar(k), bar(a)=2bar(i)-bar(j)+bar(k), bar(b...
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- The vector of magnitude 3sqrt(6) along the bisector of the angle betwe...
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- The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle betwee...
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- If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vec...
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- If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -6) are the vertices of a Delta...
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- The median AD of the triangle ABC is bisected at E. BE meets AC in F t...
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