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Findi "north ...

Question

Find
(i) "north cross west"
(ii) "down dot south"
(iii) "west dot west
(iv) "south cross south"
Let each vector have unit magnitude.

up ;

0

;

1

;

\to 0

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up ;

1

;

1

;

\to 0

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down ;

1

;

0

;

\to 0

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down ;

0

;

1

;

\to 0

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Solution

The correct option is A up ; $0$ ; $1$ ; $\to 0$
i) North cross West $=^j \times (-^i) = - (-^k) =^k$ So. its along positive z-axis means up.
ii) Down dot south $= (-^k) . (-^j) = 0$ {Angle between the two vectors is 90 $^{o}$ }
iii) West dot west $= (-^i) . (-^i) = 1$ {Both the vectors are in the same direction}
iv) south cross south $= (-^j) \times (-^j) = \to 0$ (null vector)

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