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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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Find the cross product a×b.

a= b=

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Calculate the angle between a and b (correct to the nearest degree).

a = i -2j, b = -j+ k

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In the figure below, three vectors and are positioned to form an equilateral triangle with sides 3 units in length. Find the dot product .

M9 Q5 pic

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Find the scalar projection of  onto

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Find the vector projection of  onto 
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If  and , find a unit vector in the direction of the cross product .

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Given the points and :

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