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Which of the following is perpendicular ...

Which of the following is perpendicular to `hati-hatj-hatk`?

A

`hati+hatj+hatk`

B

`-hati+hatj+hatk`

C

`hati+hatj-hatk`

D

none of these.

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The correct Answer is:
D
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Assertion: Vector (hati+hatj+hatk) is perpendicular to (hati-2hatj+hatk) Reason: Two non-zero vectors are perpendicular if their dot product is equal to zero.

Express the vector 2hati+3hatj+hatk as the sum of two vectors, one vector is perpendicualr to 2hati-4hatj+hatk and the other vector is parallel to 2hati-4hatj+hatk .

Find the equation of the plane which contains the line of intersection of the planes vecr.(hati+2hatj+3hatk)-4=0,vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr.(5hati+3hatj-6hatk)+8=0

Find the equation of the plane through the line of intersection of vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati-hatj+hatk)+8=0

A unit vector vec(a) is perpendicualr to the vectors hati+2hatj-hatk and 3hati-hatj+hatk then find the components of vec(a) .

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=

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Compute the magnitude of the following vectors : veca=hati+hatj+k,vecb=2hati-7hatj-3hatk,vecc=(1)/(sqrt(3))hati+(1)/(sqrt(3))hatj-(1)/(sqrt(3))hatk

Find a vector perpendicular to both the vectors hati-2hatj+3hatk and hati+2hatj-hatk .

The componant of vector 2 hati -3 hatj +2hatk perpendicular to the vector hati + -3 hatj + hatk is-

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