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9j+2k+i
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9j+2k+i
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3i+4j+5k-2i-\left(-5j\right)-3k
To find the opposite of 2i-5j+3k, find the opposite of each term.
3i+4j+5k-2i+5j-3k
The opposite of -5j is 5j.
i+4j+5k+5j-3k
Subtract 2i from 3i to get i.
i+9j+5k-3k
Combine 4j and 5j to get 9j.
i+9j+2k
Combine 5k and -3k to get 2k.
3i+4j+5k-2i-\left(-5j\right)-3k
To find the opposite of 2i-5j+3k, find the opposite of each term.
3i+4j+5k-2i+5j-3k
The opposite of -5j is 5j.
i+4j+5k+5j-3k
Subtract 2i from 3i to get i.
i+9j+5k-3k
Combine 4j and 5j to get 9j.
i+9j+2k
Combine 5k and -3k to get 2k.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}