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Question

Question: How do I find a vector cross product on a TI-84?...

How do I find a vector cross product on a TI-84?

Explanation

Solution

A calculator is a small electrical device that can be carried anywhere easily; it makes mathematical calculations very easy as it performs big mathematical operations in seconds. The answer obtained above is a rounded off value because we don’t require so much accuracy in our daily life works.

Complete step by step answer:
There are a large variety of calculators available in the market; the calculators used in daily life are not suitable for performing such functions so we require higher quality calculators and devices. TI-84 was one such invention in early 2004, it is a graphing calculator made by texas instruments. Using cross-product function on the calculator, we can find the correct answer.

Let one vector be a=3i^+6j^+2k^\overrightarrow a = 3\hat i + 6\hat j + 2\hat k and another vector be b=4i^+9j^+10k^\overrightarrow b = 4\hat i + 9\hat j + 10\hat k
For finding out the cross product of two vectors on a TI-84, we write the above two as –
3,6,24,9,10\\{ 3,6,2\\} \\{ 4,9,10\\} and then press the enter key. We will get the answer written on the display as,
42,22,3\\{ 42,22,3\\} , that is, the cross product of the two given vectors is 42i^+22j^+3k^42\hat i + 22\hat j + 3\hat k .

Note: If a TI-84 doesn’t have an inbuilt cross-product function then it can be programmed in the calculator. The cross product of two vectors is also a vector and is defined as the binary operation on two vectors in three-dimensional space.