ACTIVITY-1

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MULTIVARIABLE CALCULUS ( CSC-233 ) 
TIME : 30 MIN ACTIVITY # 1 DATE : 23/10/20 
NAME : ________________ 
 
Q : Tell true or false : 
 (i)The vector-valued function �⃗� (𝒕) = 𝟐𝒄𝒐𝒔𝒕 𝒊 + 𝟑𝒔𝒊𝒏𝒕 𝒋 + 𝟐𝒕 𝒌 is a helix. 
 (ii) 
𝒅
𝒅𝒕
(𝒊 × 𝒋) = 𝟏 
 (iii) |�⃗� (𝒕) | is a vector valued function. 
 (iv) If �⃗� (𝒕) = [(𝒊 × 𝒌). 𝒊]𝒊 − [(𝒊 × 𝒌). 𝒋]𝒋 + [(𝒊 × 𝒌). 𝒌]𝒌 then 𝑫𝒕 [�⃗� (𝒕)] = 𝟏 
 (v) If position vector is �⃗� (𝒕) = 𝒕𝒊 − 𝒕𝟐𝒋 − 𝒕𝟑𝒌 then speed at t = 0 is 0. 
 (vi) �⃗⃗� = 
𝒅�⃗� 
𝒅𝒕