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Otrada [13]
3 years ago
14

Find a unit vector that is orthogonal to both i + j and i + k.

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer: i - j - k

Step-by-step explanation:

Taking the cross product between two vectors will give you a third vector that is orthogonal(perpendicular) to both vectors.

<1,1,0> x <1,0,1>

det(\left[\begin{array}{ccc}i&j&k\\1&1&0\\1&0&1\end{array}\right] )

the determinate of the matrix: <1,-(1),-1>

or: i - j - k

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AB = 10 in; AD = 6 in <br><br> A= <br><br> 30sqrt3 in2<br> 30 in2<br> 60 in2
Ratling [72]

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula A=\frac{1}{2} ab \sin C.

However, since there are two triangles, we can double this, giving us A=ab \sin C.

So, the area is A=(10)(6)(\sin 30^{\circ})=\boxed{30}

8 0
2 years ago
Could somebody help me with this question please?
ELEN [110]
The answer would be 20. Because the whole angle would have to be 90 so you already have 30 so that leaves you with 60 which you divide by 3 and gives you 20
4 0
3 years ago
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Based on the diagram, what is the reduced area inside the blood vessel?
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3 years ago
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7 0
3 years ago
What is the lcm of 16, 24 and 40
ivann1987 [24]
The answer is 240

Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

First we will find LCM for first two numbers ( 16 and24 ).

Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.

Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )

Step 3: Divide the 384 with 8. (384/8 = 48)

So, the LCM of 16 and 24 is 48.

Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.

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8 0
3 years ago
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