Suppose \vec{u} = \langle 4, -2, -4 \rangle. Then \langle 8, 0, 8 \rangle makes an acute angle with \vec{u} \langle 5, 4, 3 \rangle makes an acute angle with \vec{u} \langle 3, -2, 5 \rangle makes an acute angle with \vec{u} \langle 4, 1, -3 \rangle makes an obtuse angle with \vec{u}
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The dot product of two vectors is given by the formula: a · b = a1b1 + a2b2 + a3b3 where a = (a1, a2, a3) and b = (b1, b2, b3). For the given vectors: i = (4, -2, 4) (8, 0, 8) (5, 4, 3) (3, -2, 5) (4, 1, -3) We can calculate the dot product as follows: i · Show more…
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