If bar(a)+bar(b)+bar(c)=bar(0) then prov...

If `bar(a)+bar(b)+bar(c)=bar(0)` then prove that `bar(a)xxbar(b)=bar(b)xxbar(c)=bar(c)xxbar(a)`.

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If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(b) = bar(c ) xx bar(d) and bar(a) xx bar(c ) = bar(b)xxbar(d) . Then show that the vectors bar(a) - bar(d) and bar(b) -bar(c ) are parallel.

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)=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 )| .

If bar(a) = 2bar(i) +bar(j)-3bar(k), bar(b) = bar(i) -2bar(j)+bar(k), bar(C) =- bar(i) +bar(j)-4bar(k), bar(D) = bar(i) +bar(j)+bar(k) , then compute |(bar(a)xxbar(b))xx(bar(c)xxbar(d))| .

If bar(a).bar(b) = bar(a).bar(c ) and bar(a) xx bar(b) = bar(a) xx bar(c ), bar(a) != 0 , then show that bar(b) = bar(c ) .

If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0 , then show that bar(a) + bar(c ) = bar(p)bar(b) , where p is some scalar.

If bar(a), bar(b), bar(c ) respresents the vertices A, B, and C respectively of DeltaABC then prove that |(bar(a) xx bar(b)) + (bar(b) xx bar(c ))+ (bar(c ) xx bar(a))| is twice the area of DeltaABC .

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Practice Exercise

If bar(a)+bar(b)+bar(c)=bar(0) then prove that bar(a)xxbar(b)=bar(b)xx...
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(vec(a) + vec(b)) xx (vec(a)-vec(b)) + (vec(b) + vec(c )) xx (vec(b)-v...
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Observe the following statements Assertion (A): (a-b) (vec(p) xx vec...
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Let |vec(a) + vec(b)| = |vec(a)-vec(b)|. If |vec(a) xx vec(b)|= lamda ...
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(vec(a) xx vec(b), vec(b) xx vec(a))=
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Given vec(a) = vec(i) + vec(j)-vec(k), vec(b)= - vec(i) + 2vec(j) + ve...
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Number of vectors of unit length perpendicular to the vectors vec(a)= ...
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The unit vector perpendicular to vectors vec(i)-vec(j) and vec(i) + ve...
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Let vec(a) + m vec(b) + n vec(c )= vec(0).vec(a) xx vec(b) + vec(b) xx...
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If |vec(a)| = |vec(b)|=2, then (vec(a) xx vec(b))^(2) + (vec(a).vec(b)...
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Which of the following statements are true. Statement-I: (vec(r ).ve...
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If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then
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A vector vec( c) perpendicular to the vectors 2vec(i) + 3vec(j)-vec(k)...
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The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and ve...
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If three vectors vec(a), vec(b), vec(c ) are such that vec(a) ne vec(0...
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Assertion (A): The area of the triangle with vertices (1,2,3), (2, 5, ...
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The area of the parallelogram is 4sqrt29 sq.u. If one of adjacent side...
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ABCD is a quadrilateral with vec(AB)= vec(a), vec(AD)= vec(b) and vec(...
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The perpendicular distance from A(1, 4, -2) to BC, where B= (2, 1, -2)...
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