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3 years ago

Help me out please thx

Mathematics

2 answers:

Greeley [361]3 years ago

4 0

Answer:

Step-by-step explanation:

Margarita [4]3 years ago

3 0

Answer:

Step-by-step explanation:

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If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90

Eddi Din [679]

Answer:

$90^\circ$

Step-by-step explanation:

Given two non zero vectors, $\vec a, \vec b$ .

Let the angle between the two vectors = $\theta$

Given that:

$|\vec a+\vec b|=|\vec a-\vec b|$

Let us have a look at the formula for magnitude of addition of two vectors:

$|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}$

Where $\theta$ is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

$|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}$

As per the given condition:

$\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}$

Squaring both sides:

$a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ$

So, the angle between the two vectors is: $90^\circ$

7 0

3 years ago

What is the volume of the following triangular pyramid?

Readme [11.4K]

Answer:

The volume of the triangular pyramid

V = 566.66 in³

Step-by-step explanation:

Step(i):-

The volume of the triangular pyramid

$= \frac{1}{3} X base area X height$

Base area = Area of the triangle

$A= \frac{1}{2} X base X height$

Given the base of the triangle (b) = 17in

Given Height of the triangle (h ) =10 in

$A= \frac{1}{2}( 17 ) (10) = 85$

The base area of the pyramid ( A) = 85 in²

Step(ii):-

Given the height of the pyramid (h) = 20in

The volume of the triangular pyramid

$= \frac{1}{3} X base area X height$

The volume of the triangular pyramid

= $= \frac{1}{3}( 85)(20) = 566.66$

Final answer:-

The volume of the triangular pyramid

V = 566.66 in³

3 0

3 years ago

Your chance to win a BRAINLIEST by answering correctly with the right answer.

julia-pushkina [17]

Answer:

63 cupcakes were made by him

8 0

3 years ago

The graph of y=-3x+4 is:

kirill [66]

Answer:

Step-by-step explanation:

umm ..it's right i think

8 0

3 years ago

Question on the paper

lutik1710 [3]

Answer:

AB = 178 meters.

Step-by-step explanation:

See the attached diagram.

The surveyor needs to measure the distance AB across the lake.

Now, beginning at E, he locates the midpoint C of AE and the midpoint D of BE.

Now,measurement CD = 89 meters.

Now, in triangle Δ EAB, CD is the line connecting midpoints of the sides EA and EB, hence CD will be parallel to AB and 2CD = AB ...... (1)

Now, AB = 2 × 89 = 178 meters. (Answer)

6 0

4 years ago

Help me out please thx​

Help me out please thx