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CBSE Class 12-science Answered

  3 vector are vector a, vector b and vector c like as vector a + vector b + vector c=0; if mod vector a =1, mod vector b=4 and mod vector c=2 , then find out the expreation of mio( mu)=vector a dot vector b + vector b dot vector c + vector c dot vector a
Asked by broy31122002 | 19 Jun, 2019, 10:21: PM
answered-by-expert Expert Answer
Given: vertical line stack a vertical line with rightwards arrow on top equals 1 comma space vertical line b with rightwards arrow on top vertical line equals 4 comma space vertical line c with rightwards arrow on top vertical line equals 2
Let alpha comma beta comma gamma be the angles between the vectors a and b, b and c and c and a.
Therefore, we have
a with rightwards arrow on top times b with rightwards arrow on top plus b with rightwards arrow on top times c with rightwards arrow on top plus c with rightwards arrow on top times a with rightwards arrow on top equals vertical line stack a vertical line with rightwards arrow on top vertical line b with rightwards arrow on top vertical line space cos space alpha plus vertical line stack b vertical line with rightwards arrow on top vertical line c with rightwards arrow on top vertical line space cos space beta plus vertical line stack c vertical line with rightwards arrow on top vertical line a with rightwards arrow on top vertical line space cos space gamma equals 4 space cos space alpha plus 8 space cos space beta plus 2 space cos space gamma
Answered by Renu Varma | 20 Jun, 2019, 09:56: AM

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