If bar(a) xx bar(b) = bar(b) xx 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.

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Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + bar(c ) xx (bar(a)+bar(b))

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)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60 , then find |bar(a) xx bar(b)| .

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

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 ) .

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )

If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60, then find |bar...
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vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...
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If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...
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If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...
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bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...
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Find unit vector parallel to the XOY-plane and perpendicular to the ve...
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Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...
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Prove that bar(a)x[bar(a)x(bar(a) x bar(b))] = (bar(a).bar(a))(bar(b)x...
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Let bar(a) = 2bar(i) + 3bar(j) + bar(k), bar(b) = 4bar(i) + bar(j) and...
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