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Nikolay [14]
2 years ago
14

state whether each expression is meaningful. if not, explain why. if so, state whether it is a vector or a scalar.

Mathematics
1 answer:
DanielleElmas [232]2 years ago
8 0

The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product so options (b), (d), and (e) are not meaningful.

<h3>What is a vector?</h3>

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

The dot product of two vectors gives scalar quantity while the cross product gives a vector quantity.

Now,

In option (B) ;

a Х (b . c) now here b . c is a scalar quantity and we can not cross multiply a scalar with a vector.

In option (D) ;

(a.b) Χ (c.d) where we cannot multiply two scalars by cross product.

In option (E);

a.(b.c) we can not multiply two scalars by the dot product.

Hence "The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product".

For more information about vector,

brainly.com/question/13322477

#SPJ4

The given question has a missing option which is given below,

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Write the equation in slope-intercept form then change it to standard form with integer coefficients.
SCORPION-xisa [38]

Answer:

1. Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

2. Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

3. Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

Step-by-step explanation:

Slope intercept form:   y = mx + b

where:

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

Standard form:  Ax + By = C

\textsf{1.  as} \ m=2: \ \ y = 2x + b

   \textsf{at} \  (6, 8): \ \ 8 = 2(6) + b

   \implies b = -4

Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

\textsf{2.  as} \  \ m = \dfrac12: \ \ y = \dfrac12x + b

    \textsf{at} \  (4, 1): \ \ 1 = \dfrac12(4) + b

    \implies b = -1

Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

\textsf{3.  as} \  \ m = \dfrac45: \ \ y = \dfrac45x + b

   \textsf{at} \  (1,5): \ \ 5 = \dfrac45(1) + b

   \implies b = \dfrac{21}{5}

Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

7 0
2 years ago
PLEASEEE HELP THANK YOU!
Fittoniya [83]

Answer:

Hi Sophia! The answer is the option 3!

Step-by-step explanation:

Check the picture!

8 0
3 years ago
if you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?
Romashka-Z-Leto [24]

Answer:

see below

Step-by-step explanation:

2x+8y=12 3x-8y=11

If we have to solve by substitution, Take the first equation and divide by 2

2x/2 + 8y/2 =12/2

x+4y = 6

Then subtract 4y from each side

x = 6 -4y

Then substitute this into the second equation

This is best solved by elimination

2x+8y=12

3x-8y=11

----------------

5x = 36

x = 36/5

6 0
3 years ago
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