In this notation, the vector a would be written as a = 5i + 2j, where i and j are unit vectors in the x and y directions, respectively. Similarly, the vector b would be written as b = -14i + 6j. To find the sum of these two vectors in unit vector notation, we simply add...
How to Write a Linear Combination of Vectors in Ai + Bj Form: Example 1 Given the vectors {eq}\vec u = 2i + 5j {/eq} and {eq}\vec v = i - 4j {/eq}, write the vector {eq}\vec z = 3\vec u + 8\vec v {/eq} in {eq}ai+bj {/eq} form. ...
I need to prove B.(Gradient . B) - B X(Gradient X B)=Del{i} [B{i}B{j} -1/2 (kroneker delta {ij} B^2] where I have used . as the dot product, {} as...
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Writing to a CSV File To write data to a CSV file, we use the write.csv() function. The output file is stored in the working directory of our R programming environment. For example: #To print the details of people having salary between 30000 and 40000 and store the results in a new...
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Is it also possible to formally write down the null hypotheses that are tested by each of these two coefficients? From the perspective of formal hypothesis tests, the slope represents the main test of interest, so we consider this first. The treatment contrast expresses the null hypothesis that...
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