Mathematics, 28.01.2020 20:48 vvaallww

Which of the following expressions are meaningful? which are meaningless? explain. (a) (a · b) · c (a · b) · c has because it is the dot product of . (b) (a · b)c (a · b)c has because it is a scalar multiple of . (c) |a|(b · c) |a|(b · c) has because it is the product of . (d) a · (b + c) a · (b + c) has because it is the dot product of . (e) a · b + c a · b + c has because it is the sum of . (f) |a| · (b + c) |a| · (b + c) has because it is the dot product of .

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Answer from: jphelps19992019

Following are solutions to the given points:

This dot product of a scalar and a vector, $(a\cdot b) \cdot c$ , has no significance.Since it is a scalar multiple of a vector, $(a \cdot b)c$ has significance.Since it is the sum of two scalars, $|a|(b \cdot c)$ has meaning.This dot product of two vectors, $a \cdot (b + c)$ , has meaning.Since it is the product of a scalar and a vector, $a \cdot b + c$ has no significance.Since it is the dot product of a scalar as well as a vector, the expression $|a|\cdot (b + c)$ has no meaning.

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Answer from: gsVKJCGAISGF46661

a. It is meaningless.

b. It has meaning.

c. It has meaning.

d. It has meaning.

e. It is meaningless.

f. It is meaningless.

Step-by-step explanation:

a. (a.b).c.

This is meaningless, a.b will give a scalar and we can't take the dot product of the scalar result with vector c.

b. (a.b)c

This has meaning, a.b will give a scalar, the the scalar will be multiply with the vector c.

c. |a|(b.c)

This has meaning, |a| means magnitude of vector a and it will a scalar and this is multiple by the scalar result of b.c

d. a.(b+c)

This has meaning, b+c will give another vector then, the scalar product of the result and vector c will be calculated and it will gives us a scalar answer.

e. a.b+ c

This is meaningless, the dot product of a.b will give a scalar result and the scalar result canont be added to c. We can't add a scalar to a vector.

f. |a|.(a+b)

This is meaningless, |a| means the magnitude of vector a and that is a scalar. The scalar product of a scalar and a vector cannot be calculated.

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Answer from: Quest

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

~just a girl in love with shawn mendes

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Which of the following expressions are meaningful? which are meaningless? explain. (a) (a · b) · c...

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