Find the inner product of and if = 3, 0, –1 and = 4, –2, 5, and state whether the vectors are perpendicular.
30. Find the inner product of and if and , and state whether the vectors are perpendicular.
Please help !! i am so confused and lost.
Your typing did not come out the way you probably intended, but I am guessing your have two vertors
(3,0,-1) and (4,-2,5) and are taking the dot product
inner product or dot product = 3(4) + 0(-2) + (-1)(5)
= 12 + 0 - 5 = 7
if the dot product is zero, then the two vectors are perpendicular.
Since our answer obviously is not zero, then .....
Find the inner product of vectors a and b if a = (3, 0, –1) and b = (4, –2, 5,) and state whether the vectors are perpendicular.
Find the inner product of vectors a and b if a=(4,-2,-2) and b= (-7,-2,4) , and state whether the vectors are perpendicular.
Horre, I did the question for you.
Did you not read it ???
it says there should be more than one answer.. im so confused.
To find the inner product (also known as dot product) of two vectors, we need to multiply the corresponding components of the vectors together and then sum up the products. The formula is:
Inner Product = (a1 * b1) + (a2 * b2) + (a3 * b3)
Here, vector a = [3, 0, -1] with components a1 = 3, a2 = 0, a3 = -1,
and vector b = [4, -2, 5] with components b1 = 4, b2 = -2, b3 = 5.
To find the inner product, we substitute the values into the formula and perform the calculations:
Inner Product = (3 * 4) + (0 * -2) + (-1 * 5) = 12 + 0 - 5 = 7
So, the inner product of vectors a and b is 7.
To determine if two vectors are perpendicular, we check if their inner product is equal to zero. If it is, the vectors are perpendicular; otherwise, they are not perpendicular.
In this case, the inner product of vectors a and b is 7, which is not equal to zero. Therefore, the vectors are not perpendicular.