Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal if their dot product is zero.<span />
Answer:
x . 1 . 3 . 5 . 7 . 9
y . 6 . 18 . 30 . 42 . 54
Step-by-step explanation:
X-values are the odd numbers
Y-values are the corresponding x-values multiplied by 6
Let S be the number of Brand S snowboards sold.
Let B be the number of Brand B snowboards sold.
309S + 489B = 4299
S + B = 11
S = 6 snowboards sold
B = 5 snowboards sold
Question is Incomplete, Complete question is given below.
Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.
Answer:
∆ABC is right angled triangle with right angle at B.
Step-by-step explanation:
Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.
We need to prove that triangle is the right angled triangle.
Let the triangle be denoted by Δ ABC with side as;
AB = (a - 1) cm
BC = (2√ a) cm
CA = (a + 1) cm
Hence,
Now We know that

So;


Now;

Also;

Now We know that




[By Pythagoras theorem]

Hence, 
Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.
This proves that ∆ABC is right angled triangle with right angle at B.