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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP
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Let v= 7j and let u be a vector with length 5 that starts at the origin and rotates in the xy-plane. Find the maximum value of the length of the vector |u×v|.
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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 .
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If and , find a unit vector in the direction of the cross product .
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Find the scalar projection of onto
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Find the vector projection of onto
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Given the points and :
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