Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 290: 17

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a) $u.v$ is a scalar and normal is defined for vectors, not scalars. b)$u.v$ is a scalar and $w$ is a vector. We cannot add scalars and vectors. c) $v.w$ is a scalar and $u$ is a vector. The dot product is defined for two vectors, not a vector and a scalar.