Show that each of the given three vector...

Show that each of the given three vectors is a unit vector. `(1)/(7)(2hati+3hatj+6hatk),(1)/(7)(3hati-6hatj+2hatk),(1)/(7)(6hati+2hatj-3hatk)`
Also , show that they are mutually perpendicular to each other.

Answer

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IF the vectors a = hati + hatj + hatk , b = hati - hatj + 2 hatk and c= x hati +(x-2) hatj - hatk are coplanar , then x=

`-2`

If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2hatk and 14hati-5hatj+phatk collinear, then the value of p is

Set the following vectors in the increasing order of their magnitude. (a) 3hati + 4hatj , (b) 2hati + 4hatj + 6hatk ( c) 2hati + 2hatj + 2hatk ,

a,b,c

c,a,b

a,c,b

b,c,a

Show that each of the given three vectors is a unit vector. `(1)/(7)(2hati+3hatj+6hatk),(1)/(7)(3hati-6hatj+2hatk),(1)/(7)(6hati+2hatj-3hatk)`
Also , show that they are mutually perpendicular to each other.

Answer

Topper's Solved these Questions

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Knowledge Check

IF the vectors a = hati + hatj + hatk , b = hati - hatj + 2 hatk and c= x hati +(x-2) hatj - hatk are coplanar , then x=

If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2hatk and 14hati-5hatj+phatk collinear, then the value of p is

Set the following vectors in the increasing order of their magnitude. (a) 3hati + 4hatj , (b) 2hati + 4hatj + 6hatk ( c) 2hati + 2hatj + 2hatk ,

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NCERT TELUGU-VECTOR ALGEBRA-EXERCISE 10.3

Show that each of the given three vectors is a unit vector. `(1)/(7)(2hati+3hatj+6hatk),(1)/(7)(3hati-6hatj+2hatk),(1)/(7)(6hati+2hatj-3hatk)` Also , show that they are mutually perpendicular to each other.

Answer

Topper's Solved these Questions

Similar Questions

Knowledge Check

IF the vectors a = hati + hatj + hatk , b = hati - hatj + 2 hatk and c= x hati +(x-2) hatj - hatk are coplanar , then x=

If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2hatk and 14hati-5hatj+phatk collinear, then the value of p is

Set the following vectors in the increasing order of their magnitude. (a) 3hati + 4hatj , (b) 2hati + 4hatj + 6hatk ( c) 2hati + 2hatj + 2hatk ,

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NCERT TELUGU-VECTOR ALGEBRA-EXERCISE 10.3

Show that each of the given three vectors is a unit vector. `(1)/(7)(2hati+3hatj+6hatk),(1)/(7)(3hati-6hatj+2hatk),(1)/(7)(6hati+2hatj-3hatk)`
Also , show that they are mutually perpendicular to each other.