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Question Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |\vec{a}+\vec{b}|^{2}=|....

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Question Let \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b} \) and \( \vec{c}=\hat{j}-\hat{k} \) be....

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Question Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three-unit vectors such that \( \vec{a}....

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Question Let \( \vec{A} \) be vector parallel to line of intersection of planes \( P_{1} \) and ....

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Question Let \( \vec{a}, \vec{b}, \vec{c} \) be unit vectors such that \( \vec{a}+\vec{b}+\vec{c....

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Question Let \( \vec{a}=\hat{i}-\hat{j}+2 \hat{k} \) and \( \vec{b} \) be a vector such that \( ....

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Let veca= i-j+2k and let vec b be a vector such that vec a× vec b = 2i-k and vec a.vecb= 3...

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Question Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors, out of which vector....

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Let vec a=2i+j+k, vec b and vec c be two non-zero vectors such that |vec a+vec b-vec c| =|vec ..

Let vec

Let veca=αi+j-k and vec b = 2i+j-αk, α is greater than 0. If the projection of veca×vecb on....

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Let vec a ,\\vec b ,\\vec c\nbe three vectors of magnitudes 3, 4 and 5\r\nrespectively. If each...

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Let ` vec a , vec ba n d vec c ,` be non-zero non-coplanar vectors. Prove that: ` vec a-2 vec b+...

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Let \( \vec{a}, \vec{b}, \vec{c} \) be three vectors of equal magnitude such that the angle....

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