bar(r)=2bar(i)+3bar(j)-6bar(k)" then fin...

`bar(r)=2bar(i)+3bar(j)-6bar(k)" then find "abs(bar(r))`.

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If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j) + 6bar(k) , then find bar(a).bar(b) amd the angle between bar(a) and bar(b) .

If bar(a)=bar(i)-2bar(j)-3bar(k), bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+3bar(j)-2bar(k) " then find " bar(a)xx(bar(b)xxbar(c))

If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=bar(i)+bar(j)+2bar(k) " then find "(bar(a)xxbar(b))xxbar(c)|and|bar(a)xx(bar(b)xxbar(c))|

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

If bar(a)=2bar(i)+bar(j)-bar(k), bar(b)=-bar(i)+2bar(j)-4bar(k), bar(c )=bar(i)+bar(j)+bar(k) then find (bar(a)xxbar(b)).(bar(b)xxbar(c )) .

If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) - 5bar(k) then find |bar(a) xx bar(b)| .

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

If bar(a)=bar(i)+2bar(j)-3bar(k),bar(b)=2bar(i)+3bar(j)+bar(k) then Show that bar(a)+bar(b),bar(a)-bar(b) are perpendicular .

If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(k) then S.T bar(a)+bar(b).bar(a)-bar(b) are perpendicular.

If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c ) = bar(i) + 2bar(j)-bar(k) , then find bar(a) xx (bar(b) xx bar(c )) and |(bar(a)xxbar(b))xxbar(c )| .

AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES

bar(r)=2bar(i)+3bar(j)-6bar(k)" then find "abs(bar(r)).
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If bar(OA)=bar(i)+2bar(j)-3bar(k), bar(OB)=3bar(i)-2bar(j)+5bar(k) and...
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If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...
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If (bar(a), bar(i))=(bar(a), bar(j))=pi/4" then "(bar(a), bar(k))=
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Unit vector making angles pi/3, pi/3, (3pi)/4 with bar(i), bar(j), bar...
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If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=2bar(i)+3bar(j), bar(c)=3bar(i)...
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If bar(alpha)=2bar(i)+3bar(j), bar(beta)=4bar(i)+bar(j), bar(gamma)=5b...
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bar(a), bar(b), bar(c) are three vectors of which every pair is non-co...
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Let a, b, g be the distinct real numbers. The points with position vec...
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If the position vectors of the four points A, B, C, D are 2bar(a), bar...
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If the position vectors of three consecutive vertices of a parallelogr...
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A set of vectors bar(a)(1), bar(a)(2), ………, bar(a)(n) is said to linea...
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If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7...
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If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaAB...
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If A is the point bar(a)+2bar(b), P is the point bar(a) and P devides ...
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The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+...
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In a DeltaOAB, E is the mid point of OB and D is a point in AB such th...
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If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j...
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The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...
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In a DeltaABC, P.V.'s of A, mid-point of BC are bar(i)+2bar(j)+3bar(k)...
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If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=
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