It is true if two vectors point in opposite directions. This means their cross product must be zero.
<h3>What is cross product?</h3>
Cross product is a vector product of two vectors in the three dimensional vector space.
In the case when the two vectors point in opposite directions so there cross product should be zero.
Impact on two points:
In the case when the two vectors point in opposite directions so there cross product should be zero.
Like
A*B = [A][B] sin
Here theta is be the angle that lies between them
So,
A*B = [A][B] sin 180
So, A*B = 0
hence, the given statement is true.
learn more about vectors here:
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If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.
Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.
The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.
X = 180 - 61 - 61 = 58 degrees.
Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
Answer:
648
Step-by-step explanation:
360 miles / 5 hours = 72 miles per hour
72 mph × 9 hours = 648 miles