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we are given A+B = (2i +6j+k)
A-B = (4i+2j-11k)
adding 1 and 2 -
we get-
2A =(6i+8j-10k)
A = (3i+4j-5k)
similarly we can find B by subtracting 1 and 2-
2B = (-2i+4j+12k)
B = (-i+2j+6k)
now we have to find dot or sclar product of vector A and B -
in dot product we just multiply the coefficient of same vectors i.e we multiply coefficient of i cap to i cap j to and k to k lets do-
A.B = 3*(-1) +4*2+(-5)*6
= -3+8-30
= 5-30
= -25
therefore the dot product of vector A and B is -25
HOPE IT HELPS U ❤❤❤❤✌✌✌❤❤❤❤
we are given A+B = (2i +6j+k)
A-B = (4i+2j-11k)
adding 1 and 2 -
we get-
2A =(6i+8j-10k)
A = (3i+4j-5k)
similarly we can find B by subtracting 1 and 2-
2B = (-2i+4j+12k)
B = (-i+2j+6k)
now we have to find dot or sclar product of vector A and B -
in dot product we just multiply the coefficient of same vectors i.e we multiply coefficient of i cap to i cap j to and k to k lets do-
A.B = 3*(-1) +4*2+(-5)*6
= -3+8-30
= 5-30
= -25
therefore the dot product of vector A and B is -25
HOPE IT HELPS U ❤❤❤❤✌✌✌❤❤❤❤
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