What is the dot product of #<3,-7,6 ># and #<4,1,7 >#?

Answer 1

The dot product of two vectors, also called the 'scalar product' is a single number, in this case #47#.

To find the dot product (scalar product) of two vectors #[a_1, a_2, a_3, ..., a_n]# and #[b_1, b_2, b_3, ..., b_n]#, we simply multiply the corresponding elements and add all the products:

#a_1b_1 + a_2b_2 + a_3b_3 + .... + a_nb_n#

This instance's dot product is:

#3*4+(-7)*1+6*7 = 12 - 7 + 42 = 47#

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Answer 2

Amelia Adams

The dot product is 41.

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Answer 3

Amelia Adams

To find the dot product of two vectors, we multiply their corresponding components and then sum the results.

For the given vectors ( \textbf{A} = \langle 3, -7, 6 \rangle ) and ( \textbf{B} = \langle 4, 1, 7 \rangle ), the dot product is calculated as follows:

[ \textbf{A} \cdot \textbf{B} = (3 \times 4) + (-7 \times 1) + (6 \times 7) ]

Compute the products and sum them up.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

What is the dot product of #&lt;3,-7,6 &gt;# and #&lt;4,1,7 &gt;#?

What is the dot product of #<3,-7,6 ># and #<4,1,7 >#?