$MathMaster logo$

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 equation of an ellipse centered at (h, k) with a major axis length of 2a and a minor axis length of 2b?

+

What is the volume of a rectangular solid with length L, width W, and height H? (Volume = L * W * H)

+

Find the extrema of the function f(x) = 3x^2 - 6x + 2 in the interval [0, 4].

+

New questions in Mathematics

A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)

Equivalent expression of the sequence (3n-4)-(n-2)

(2x+5)^3+(x-3)(x+3)

solve for x 50x+ 120 (176-x)= 17340

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?

Use a pattern to prove that (-2)-(-3)=1

If a|-7 and a|9, then a|-63

effectiveness of fiscal and monetary policy under closed and open economies

16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]

Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?

The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2