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4 years ago

Evaluate 4-0.25g+0.5h when g=10 and h=5 plz help me

Mathematics

2 answers:

Kruka [31]4 years ago

5 0

Answer:

Step-by-step explanation:

natali 33 [55]4 years ago

3 0

Answer is 4 step by step : 4 -0.25(10)+0.5(5) 4 -2.5 + 2.5. 4 - 0. 4

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Determine the projection of w onto u

natali 33 [55]

Answer:

c. 6.2i - 4.2j

Step-by-step explanation:

The vector projection when the angle θ not known can be calculated using the following property of the dot product:

$proj_uv=\frac{u\cdot v}{||u||^2} u$

Where the dot product of two vectors is given by:

$u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$$

And the magnitude of a vector is given by:

$||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}$

Using the previous definition, let's calculate the projection of w onto u:

First let's calculate the dot product between w and u:

$u\cdot w =(9*19)+(-6*15)=171-90=81$

Now let's find the magnitude of u:

$||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}$

So:

$||u||^2=117$

Therefore:

$proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.14\rangle\approx6.2i-4.2j$

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