State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar. (a) a (b x c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (b) a x (b c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (c) ax (b x c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (d) a- (b - c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (e) (a - b) x (c . d) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (f) (a x b) - (c x d) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors.
State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar. (a) a (b x c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (b) a x (b c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (c) ax (b x c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (d) a- (b - c) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (e) (a - b) x (c . d) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors. The expression is meaningless. The dot product is defined only for two vectors. (f) (a x b) - (c x d) The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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![State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.
(a) a· (b x c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(b) a x (b· c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(с) аx (Ьx с)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(d) a.
(Ь с)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(e) (a · b) x (c d)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(f) (a x b) · (c x d)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
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Transcribed Image Text:State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.
(a) a· (b x c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(b) a x (b· c)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(с) аx (Ьx с)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(d) a.
(Ь с)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(e) (a · b) x (c d)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
(f) (a x b) · (c x d)
The expression is meaningful. It is a vector.
The expression is meaningful. It is a scalar.
The expression is meaningless. The cross product is defined only for two vectors.
The expression is meaningless. The dot product is defined only for two vectors.
O O
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