$MathMaster logo$

MathMaster

Home
general
result of the scalar product between u 1 2 3 and v 0 2 1

Question

Result of the scalar product between u=(1,-2,3) and v=(0,2,1)

168

likes

839 views

Answer to a math question Result of the scalar product between u=(1,-2,3) and v=(0,2,1)

$Expert avatar$

4.7

119 Answers

1. Write out vectors:

\mathbf{u} = (1, -2, 3)

,

\mathbf{v} = (0, 2, 1)

.

2. Use dot product formula:

\mathbf{u} \cdot \mathbf{v} = u_1v_1 + u_2v_2 + u_3v_3 = 1 \cdot 0 + (-2) \cdot 2 + 3 \cdot 1

.

3. Calculate:

0 - 4 + 3 = -1

.

4. Final answer:

-1

.

Frequently asked questions (FAQs)

What is the quadratic formula used to solve for x in the equation ax^2 + bx + c = 0?

+

Question: What is the x-coordinate of the point where the graph of the logarithmic function f(x) = log(x) intersects the line y = 2?

+

Math question: What is the extreme value of the function f(x) = x^2 - 4x + 3 in the interval [-2, 5]?

+

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?

Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.

If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)

Convert 9/13 to a percent

The maximum gauge pressure of a hydraulic ramp is 16 atm, with a support area whose diameter is 20 cm. What is the mass of the heaviest vehicle that can be lifted?

MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x − a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.

Square root of 169 with steps

Beren spent 60% of the money in her piggy bank, and Ceren spent 7% of the money in her piggy bank to buy a joint gift for Deren, totaling 90 TL. In the end, it was observed that the remaining amounts in Ceren and Beren's piggy banks were equal. Therefore, what was the total amount of money that Beren and Ceren had initially? A) 120 B) 130 C) 150 D) 160 E) 180

Find the distance from the point (2,-1) to the line 2x-5y+10=0

To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.