p =2i^ + 3j -k and Q=2i-5j+2k .fine p+ q and 3p_2q
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and
Step-by-step Explanation:
This question uses the arithmetic concepts of simple vector algebra.
Given:
- Vector
- Vector
To be found:
- Vector
- Vector
Concepts used:
represent unit vectors in the x, y and z axes. We can represent any 3D vector in terms of these.
- Addition rule of vectors:
(we normally add each of the x, y and z components and write the final vector)
- Scalar Multiplication rule :
We can add p and q like this,
Also, we can multiply 3 to p and 2 to q (by using scalar multiplication rule):
Now we can evaluate by simple subtraction,
So, and
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