6. A rectangular box has dimensions 2 m x 4 m in the x-y plane, and 2 m x 8 m in the y-z plane. If one corner of the box is located at the origin, write the vector D corresponding to the diagonal going from the origin to the opposite corner, and find the angle between D and the z axis. +y +X
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Given,
A rectangular box has dimensions in the xy -plane and in the yz plane.
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- What is the square root of 1023? (Hints: 10 is an integer number. Integer numbers are exact, they don't have any uncertainty. The result however is going to be a real number. Computers approximate real numbers using floating point numbers. Floating point numbers have a given number of significant figures or digits. LON-CAPA typically expects 3, 4 or 5 digits. 2 or 1 is not enough, 6 or more is too many. Very large or very small numbers are expressed in scientific or exponential notation like the number above. Numbers in scientific notation are entered to computer software - like LON- CAPA as 1.23E15 or 1.23e15, for example; and 1.23E-15 or 1.23e-15, if the exponent is negative. If both the number and the exponent are negative, then you type -1.23E- 15 or -1.23e-15. On calculators the button is usually labelled as 'EE', but 'E' or 'EEX' or 'Exp' are also possible.)For (b), why do we divide the (100Wx8h) by (103Wh)? I get that we need to cancel out the Wh, but why do we divide by 103 specifically?6 identical spherical water droplets of radius 22 mm combine to form a single spherical droplet Determine the radius of the combined droplet to 3 significant figures. Part A Iνα ΑΣΦ mm
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