the answer is there is only 1 solution
<span>We know that for two vectors u and v we have that the cross product is equal to :
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k
Then we have that m x n : ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k
which becomes ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k
Thus the vector product of m and n is -18 i - 18j -18k</span>
Answer:
27 : 1
Step-by-step explanation:
The prisms will be similar meaning the lengths of the sides of one will be 3 times larger. But when the volume is found it will be 3*3*3 = 27 times bigger. Take the example 2 * 4 * 3 = 24.
After a scale factor it will be 6 * 12 * 9 = 648
And 24*27 is 648.
The volume ratio 648 : 24 will simplify as 27:1.
Answer: C
Explanation: 100%
The Required ratio between the speed of the boat and speed of the water current is 8:3.
<h3>What is ratio?</h3>
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Upstream time= 8 hr 48 = 8 4/5 hour
Downstream time= 4 hour
Let the man's rate upstream be x kmph and that downstream be y kmph.
Then,
distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
x* 8 hr 48 min = y* 4 hours
x* 8 4/5= 4y
y= 11/5 x
Now,
Required ratio
(y+x)/2:(y-x)/2
= (16x/5 * 1/2): ( 6x/5 *1/2)
=8/5:3/5
=8:3
Hence, the required ratio is 8:3.
Learn more about ratio here:
brainly.com/question/13419413
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