State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.a. a. (bxc)i. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iii. The expression is meaningless. The cross product is defined only for two vectors. iv. The expression is meaningless. The dot product is defined only for two vectors.b. a x (b.c)i. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iii. The expression is meaningless. The cross product is defined only for two vectors. iv. The expression is meaningless. The dot product is defined only for two vectors. c. a x (bxc)i. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iii. The expression is meaningless. The cross product is defined only for two vectors. iv. The expression is meaningless. The dot product is defined only for two vectors. d. (a.b). ci. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iii. The expression is meaningless. The cross product is defined only for two vectors. iv. The expression is meaningless. The dot product is defined only for two vectors. e. (a.b)x(c.d)i. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iv. The expression is meaningless. The cross product is defined only for two vectors. v. The expression is meaningless. The dot product is defined only for two vectors. f. (axb). (cxd)i. The expression is meaningful. It is a vector. ii. The expression is meaningful. It is a scalar. iii. The expression is meaningless. The cross product is defined only for two vectors. iv. The expression is meaningless. The dot product is defined only for two vectors.

Yes, the expression is meaningful because the expression is in form of an associative rule, here we have a dot and a cross, the cross is evaluated first, thereafter the dot and eventually the results gives a scalar. the expression can also be written as a. (bxc) = (a.b) x (a.c)

correct option is (ii)

b) for the expression a x(b.c)

Yes, the expression has no meaning, because a cross product can only be expressed for two terms i.e a cross and then a dot as such it is neither a vector nor a scalar and hence the correct option is (iii)

c) for the expression a x (bxc)

Yes, the expression is meaningful because of the dominance of the cross product which can also be written as a x (bxc) = (axb) x(axc) as such it is a vector, correct option is (i)

d) for the expression a.(b.c)

the expression here has no meaning because the dot product can only be expressed for two term as such it is neither vector nor scalar hence the correct option is (iv)

e) for the expression (a.b)x(c.d)

The expression is meaningless because the cross product is only defined for two terms as such the expression can not be written in another way, it is neither scalar nor vector. the correct option is (iii)

f) for the expression (axb) . (cxd)

the expression here is meaningful because if the cross product terms are evaluated first before the dot product, a unique solution will be gotten which will be in terms of a scalar. correct option is (ii)

lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-01-25T11:53:46+01:00

In this exercise we have to use the knowledge of vectors to identify and correlate the statements, in this way we can say that:

A) ii

B) iii

C) i

D) iv

E) iii

F) ii

The statements being:

a) The facial appearance happen significant cause the verbalization happen inform of an select rule, here we bear a dot and a cross, the cross exist judge first, from that time forward the dot and in the course of time the results gives a scalar.

The facial appearance can in addition to happen composed as a. (bxc) = (a.b) x (a.c) so, correct alternative exist (ii)

b) The expression has no meaning, because a cross product can only be exprThe verbalization bear no intention, cause a cross product can only exist articulate for two agreement a cross and therefore a dot essentially it happen neither a heading not a scalar and hence the correct alternative exist (iii)

c)The facial appearance exist meaningful by way of the supremacy of the cross product that can in addition to be inscribed as a x (bxc) = (axb) x(axc) essentially it is a heading, correct alternative happen (i)

d) The facial appearance in this place has no signification cause the dot product can only exist articulate for two term as such it exist neither heading nor scalar hence the correct alternative happen (iv).

e) TThe verbalization is without use cause the cross product happen only outline for two terms essentially the facial appearance can not be composed fashionable another way, it happen neither scalar nor heading. the correct option exist (iii)

f) The facial appearance in this place is significant cause if the cross product status of relationship happen evaluated first before the quantity calculated from two vectors, a singular solution will generate that will be in status of relationship of a scalar. correct alternative happen (ii).

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