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Solving Simultaneous Linear Equations by Cross Multiplication Method

a vector perp...

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a vector perpendicular to i+j-k and i-j-k Vector is

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Q. A vector c perpendicular to the vectors

2 i + 3 j - k

i - 2 j + 3 k

c \cdot (2 i - j + k) = - 6

Q. A unit vector perpendicular to both

\hat{i} + \hat{j} and \hat{j} + \hat{k}

\hat{i} - \hat{j} + \hat{k}

\hat{i} + \hat{j} + \hat{k}

\frac{1}{\sqrt{3}} (\hat{i} + \hat{j} + \hat{k})

\frac{1}{\sqrt{3}} (\hat{i} - \hat{j} + \hat{k})

Q. A unit vector which is coplanar to vector

i + 2 j + k

i + 2 j + k

and perpendicular to

i + j + k

Q. A unit vectors coplanar with

i + j + 2 k

i + 2 j + k

and perpendicular to

i + j + k

Q. Write a unit vector perpendicular to

\hat{i} + \hat{j} and \hat{j} + \hat{k} .

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