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quiz0_key - Quiz 0 Name ID Mathematics is the language in...

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A B Quiz 0 Name: ID: Mathematics is the language in sciences. Certain amount of knowledge in mathematics is required to understand the material in this course. To help you check how well you are prepared in math for this course, please complete this quiz in class. The grade of this quiz will not be counted towards your final course grade. However if you find this quiz difficult, you may need to review your math text books. 3. In a Cartesian coordinate system, vector A = 2 i + 3 j + 4 k , vector B = 3 i + 4 j + 5 k . Here the vectors i, j and k are the unit vectors for the x-, y- and z- axes. Write the expression for vector C and scalar D if: Analysis: simply apply vector algebra rules in Cartesian system. (1) C = A + B = (2+3) i +(3+4) j +(4+5) k = 5 i +7 j +9 k check: result a vector. (2) D = A · B = 2·3+3·4+4·5 = 38 check: result a scalar. (3) C = A × B = check: result a vector. 4. Solve the following equation for variable x , make sure to get all possible solutions. 2.
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