Question

a vector perpendicular to i^ +j^ +k^ is​

Answer 1

Answer:

A vector can be represented by,

xi+yj+zk

then the dot product with i^+j^+k^is x+y+z.

For the vectors to be perpendicular this dot product must be zero. So, the sum of x, y and z should be zero. The "Trivial "solution is that they all are zero. Hence any other solution also be perpendicular, For example -1i^+1j^+0k^ Or 2i^-j^-k^

Hope it will be helpful

Answer 2

Answer:

Well, let’s see… the answer should be a vector, so it can be represented by  xi^+yj^+zk^ . Then the dot product with  i^+j^+k^  is  x+y+z . For the vectors to be perpendicular, this dot product must be zero, so the sum of  x ,  y , and  z  should be zero. The “trivial” solution is that they are all zero. Any other solution should also be perpendicular, for example  −1i^+1j^+0k^  or  2i^−j^−k^ .

Explanation: