If ⃗ = + + is perpendicular to both ⃗ = 5 + − 2 and = 3 − 3 + 6 , find and .

The values of and are 0 and 2, respectively.

Step-by-step explanation:

If is perpendicular to and , then the following relationships must be observed:

(1)

(2)

Then, we expand the previous expressions:

(1b)

(2b)

Then, we solve for and :

The values of and are 0 and 2, respectively.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer: c i think

step-by-step explanation: