# 2nd PUC Mathematics Series 12

PUC Science 2nd Year Mathematics Series-12 quiz

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2nd PUC Mathematics Series 12

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111. If AB × AC = 2i^4j^+4k^, then the are of ΔABC is

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112. |a × b|2 + |a.b|2 = 144 and |a| = 4, then |b| is equal to

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113. If |a × b| = 4 and |a.b| = 2, then |a||b|2 is equal to

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114. The two vectors a = 2i^+j^+3k^ and b = 4 \hat{i}-\lambda \hat{j}+6 \hat{k} ae parallel, if λ is equal to

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115. If |a|= 5, |b|= 13 and |a × b|= 25, find a.b

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116. Find the value of λ so that the vectors 2i4j^+k^ and 4i8j^+λk^ are parallel.

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117. The vectors AB = 3i^+4k^ and AC = AC=5i^2j^+4k^ are the side of a ΔABC. The length of the median through A is

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118. The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

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119. The vectors λi^+j^+2k^,i^+λj^k^ and 2i^j^+λk^ are coplanar if

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120. If |a| = 4 and -3 ≤ λ ≤ 2, then the range of |λa| is